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height: 1.5625em;"> <img class="mw-logo-tagline" alt="ఒక స్వేచ్ఛా విజ్ఞాన సర్వస్వం" src="/static/images/mobile/copyright/wikipedia-tagline-te.svg" width="119" height="16" style="width: 7.4375em; height: 1em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%A4%E0%B1%8D%E0%B0%AF%E0%B1%87%E0%B0%95:%E0%B0%85%E0%B0%A8%E0%B1%8D%E0%B0%B5%E0%B1%87%E0%B0%B7%E0%B0%A3" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="వికీపీడియా లో వెతకండి [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>వెతుకు</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="వికీపీడియా‌లో వెతకండి" aria-label="వికీపీడియా‌లో వెతకండి" autocapitalize="sentences" title="వికీపీడియా లో వెతకండి [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="ప్రత్యేక:అన్వేషణ"> </div> <button class="cdx-button cdx-search-input__end-button">వెతుకు</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="వ్యక్తిగత పరికరాలు"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Appearance" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Appearance</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=te.wikipedia.org&uselang=te" class=""><span>విరాళాలు</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%A4%E0%B1%8D%E0%B0%AF%E0%B1%87%E0%B0%95:%E0%B0%96%E0%B0%BE%E0%B0%A4%E0%B0%BE%E0%B0%B8%E0%B1%83%E0%B0%B7%E0%B1%8D%E0%B0%9F%E0%B0%BF%E0%B0%82%E0%B0%9A%E0%B1%81&returnto=%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81" title="మీరొక ఖాతాను సృష్టించుకొని, లాగినవడాన్ని ప్రోత్సహిస్తాం; అయితే, అది తప్పనిసరేమీ కాదు" class=""><span>ఖాతా సృష్టించుకోండి</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%A4%E0%B1%8D%E0%B0%AF%E0%B1%87%E0%B0%95:%E0%B0%B5%E0%B0%BE%E0%B0%A1%E0%B1%81%E0%B0%95%E0%B0%B0%E0%B0%BF%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%B5%E0%B1%87%E0%B0%B6%E0%B0%82&returnto=%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81" title="మిమ్మల్ని లాగినవమని ప్రోత్సహిస్తున్నాం; కానీ అది తప్పనిసరేమీ కాదు. [o]" accesskey="o" class=""><span>లాగినవండి</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="More options" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="వ్యక్తిగత పరికరాలు" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">వ్యక్తిగత పరికరాలు</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal" title="వాడుకరి మెనూ" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=te.wikipedia.org&uselang=te"><span>విరాళాలు</span></a></li><li id="pt-contribute" class="mw-list-item"><a href="/wiki/%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%A4%E0%B1%8D%E0%B0%AF%E0%B1%87%E0%B0%95:Contribute"><span class="vector-icon mw-ui-icon-edit mw-ui-icon-wikimedia-edit"></span> <span>తోడ్పడండి</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%A4%E0%B1%8D%E0%B0%AF%E0%B1%87%E0%B0%95:%E0%B0%96%E0%B0%BE%E0%B0%A4%E0%B0%BE%E0%B0%B8%E0%B1%83%E0%B0%B7%E0%B1%8D%E0%B0%9F%E0%B0%BF%E0%B0%82%E0%B0%9A%E0%B1%81&returnto=%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81" title="మీరొక ఖాతాను సృష్టించుకొని, లాగినవడాన్ని ప్రోత్సహిస్తాం; అయితే, అది తప్పనిసరేమీ కాదు"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>ఖాతా సృష్టించుకోండి</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%A4%E0%B1%8D%E0%B0%AF%E0%B1%87%E0%B0%95:%E0%B0%B5%E0%B0%BE%E0%B0%A1%E0%B1%81%E0%B0%95%E0%B0%B0%E0%B0%BF%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%B5%E0%B1%87%E0%B0%B6%E0%B0%82&returnto=%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81" title="మిమ్మల్ని లాగినవమని ప్రోత్సహిస్తున్నాం; కానీ అది తప్పనిసరేమీ కాదు. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>లాగినవండి</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pages for logged out editors <a href="/wiki/%E0%B0%B8%E0%B0%B9%E0%B0%BE%E0%B0%AF%E0%B0%82:Introduction" aria-label="Learn more about editing"><span>learn more</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%A4%E0%B1%8D%E0%B0%AF%E0%B1%87%E0%B0%95:%E0%B0%A8%E0%B0%BE%E0%B0%9A%E0%B0%B0%E0%B1%8D%E0%B0%9A" title="ఈ ఐపీ చిరునామా నుండి చేసిన మార్పుల గురించి చర్చ [n]" accesskey="n"><span>ఈ IP కి సంబంధించిన చర్చ</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div 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left;\"\u003E\n\u003Ctd\u003Eవికీలో వ్యాసాలు రాస్తున్నది ఎక్స్పర్టులూ, సబ్జెక్టు నిపుణులూ కాదు. ఇక్కడ సాధారణ పాఠకులే వ్యాసాలు రాస్తారు. అందరూ కలిసి పరస్పర సహకారంతో, సమన్వయంతో పనిచేస్తూ వ్యాసాలను రాస్తారు. వివిధ వనరుల్లోంచి సమాచారాన్ని సేకరించి, ఆ మూలాలను ఉదహరిస్తూ ఆ సమాచారాన్ని వికీలో చేరుస్తారు. మరింత సమాచారం కోసం \u003Ca href=\"/wiki/%E0%B0%B5%E0%B0%BF%E0%B0%95%E0%B1%80%E0%B0%AA%E0%B1%80%E0%B0%A1%E0%B0%BF%E0%B0%AF%E0%B0%BE:%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%9A%E0%B0%AF%E0%B0%AE%E0%B1%81\" title=\"వికీపీడియా:పరిచయము\"\u003Eవికీపీడియా:పరిచయము\u003C/a\u003E చూడండి. ఈ పనిలో మీరూ భాగం పంచుకోవచ్చు. వికీలో \u003Ca href=\"/wiki/%E0%B0%B5%E0%B0%BF%E0%B0%95%E0%B1%80%E0%B0%AA%E0%B1%80%E0%B0%A1%E0%B0%BF%E0%B0%AF%E0%B0%BE:%E0%B0%85%E0%B0%95%E0%B1%8C%E0%B0%82%E0%B0%9F%E0%B1%81_%E0%B0%8E%E0%B0%82%E0%B0%A6%E0%B1%81%E0%B0%95%E0%B1%81_%E0%B0%B8%E0%B1%83%E0%B0%B7%E0%B1%8D%E0%B0%9F%E0%B0%BF%E0%B0%82%E0%B0%9A%E0%B1%81%E0%B0%95%E0%B1%8B%E0%B0%B5%E0%B0%BE%E0%B0%B2%E0%B0%BF%3F\" title=\"వికీపీడియా:అకౌంటు ఎందుకు సృష్టించుకోవాలి?\"\u003Eఖాతా సృష్టించుకోండి\u003C/a\u003E. మీకు ఆసక్తి ఉన్న విషయం గురించిన సమాచారాన్ని రాసి, వికీ అభివృద్ధిలో మీరూ తోడ్పడండి. ఈ విషయంలో సందేహమేమైనా ఉంటే \u003Ca href=\"/wiki/%E0%B0%B5%E0%B0%BF%E0%B0%95%E0%B1%80%E0%B0%AA%E0%B1%80%E0%B0%A1%E0%B0%BF%E0%B0%AF%E0%B0%BE:%E0%B0%B8%E0%B0%B9%E0%B0%BE%E0%B0%AF_%E0%B0%95%E0%B1%87%E0%B0%82%E0%B0%A6%E0%B1%8D%E0%B0%B0%E0%B0%82\" title=\"వికీపీడియా:సహాయ కేంద్రం\"\u003Eవికీపీడియా సహాయకేంద్రంలో\u003C/a\u003E అడగండి.\n\u003C/td\u003E\u003C/tr\u003E\u003C/tbody\u003E\u003C/table\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="విషయ సూచిక" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">విషయ సూచిక</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">సైడ్‌బార్‌ లోకి తరలించు</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">దాచు</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">ప్రవేశిక</div> </a> </li> <li id="toc-ప్రమాణాలు" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ప్రమాణాలు"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>ప్రమాణాలు</span> </div> </a> <ul id="toc-ప్రమాణాలు-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-కలన_గణితంలో_ఘనపరిమాణం" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#కలన_గణితంలో_ఘనపరిమాణం"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>కలన గణితంలో ఘనపరిమాణం</span> </div> </a> <ul id="toc-కలన_గణితంలో_ఘనపరిమాణం-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ఘనపరిమాణ_సూత్రములు" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ఘనపరిమాణ_సూత్రములు"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>ఘనపరిమాణ సూత్రములు</span> </div> </a> <button aria-controls="toc-ఘనపరిమాణ_సూత్రములు-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>ఘనపరిమాణ సూత్రములు ఉపవర్గాన్ని టాగుల్ చెయ్యి</span> </button> <ul id="toc-ఘనపరిమాణ_సూత్రములు-sublist" class="vector-toc-list"> <li id="toc-ఒకే_వ్యాసార్థం,_ఎత్తు_గల_శంకువు,_గోళం,_స్థూపం_ఘనపరిమాణాల_నిషత్తులు" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#ఒకే_వ్యాసార్థం,_ఎత్తు_గల_శంకువు,_గోళం,_స్థూపం_ఘనపరిమాణాల_నిషత్తులు"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>ఒకే వ్యాసార్థం, ఎత్తు గల శంకువు, గోళం, స్థూపం ఘనపరిమాణాల నిషత్తులు</span> </div> </a> <ul id="toc-ఒకే_వ్యాసార్థం,_ఎత్తు_గల_శంకువు,_గోళం,_స్థూపం_ఘనపరిమాణాల_నిషత్తులు-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-మూలాలు" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#మూలాలు"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>మూలాలు</span> </div> </a> <ul id="toc-మూలాలు-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-బాహ్య_లంకెలు" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#బాహ్య_లంకెలు"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>బాహ్య లంకెలు</span> </div> </a> <ul id="toc-బాహ్య_లంకెలు-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="విషయ సూచిక" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">ఘనపరిమాణము</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 119 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-119" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">119 భాషలు</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Volume" title="Volume – ఇంగ్లీష్" lang="en" hreflang="en" data-title="Volume" data-language-autonym="English" data-language-local-name="ఇంగ్లీష్" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="आयतन – హిందీ" lang="hi" hreflang="hi" data-title="आयतन" data-language-autonym="हिन्दी" data-language-local-name="హిందీ" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AE%A9_%E0%AE%85%E0%AE%B3%E0%AE%B5%E0%AF%81" title="கன அளவு – తమిళము" lang="ta" hreflang="ta" data-title="கன அளவு" data-language-autonym="தமிழ்" data-language-local-name="తమిళము" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B5%E0%B5%8D%E0%B4%AF%E0%B4%BE%E0%B4%AA%E0%B5%8D%E0%B4%A4%E0%B4%82" title="വ്യാപ്തം – మలయాళం" lang="ml" hreflang="ml" data-title="വ്യാപ്തം" data-language-autonym="മലയാളം" data-language-local-name="మలయాళం" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Volume" title="Volume – ఆఫ్రికాన్స్" lang="af" hreflang="af" data-title="Volume" data-language-autonym="Afrikaans" data-language-local-name="ఆఫ్రికాన్స్" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="आयतन – ఆంగిక" lang="anp" hreflang="anp" data-title="आयतन" data-language-autonym="अंगिका" data-language-local-name="ఆంగిక" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85" title="حجم – అరబిక్" lang="ar" hreflang="ar" data-title="حجم" data-language-autonym="العربية" data-language-local-name="అరబిక్" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%82%D8%AF" title="قد – Moroccan Arabic" lang="ary" hreflang="ary" data-title="قد" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Volume" title="Volume – ఆస్టూరియన్" lang="ast" hreflang="ast" data-title="Volume" data-language-autonym="Asturianu" data-language-local-name="ఆస్టూరియన్" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/H%C9%99cm" title="Həcm – అజర్బైజాని" lang="az" hreflang="az" data-title="Həcm" data-language-autonym="Azərbaycanca" data-language-local-name="అజర్బైజాని" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9A%D2%AF%D0%BB%D3%99%D0%BC" title="Күләм – బాష్కిర్" lang="ba" hreflang="ba" data-title="Күләм" data-language-autonym="Башҡортса" data-language-local-name="బాష్కిర్" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Bolyum" title="Bolyum – Central Bikol" lang="bcl" hreflang="bcl" data-title="Bolyum" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D0%B1%E2%80%99%D1%91%D0%BC" title="Аб’ём – బెలారుషియన్" lang="be" hreflang="be" data-title="Аб’ём" data-language-autonym="Беларуская" data-language-local-name="బెలారుషియన్" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%90%D0%B1%E2%80%99%D1%91%D0%BC" title="Аб’ём – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Аб’ём" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B5%D0%BC" title="Обем – బల్గేరియన్" lang="bg" hreflang="bg" data-title="Обем" data-language-autonym="Български" data-language-local-name="బల్గేరియన్" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="आयतन – Bhojpuri" lang="bh" hreflang="bh" data-title="आयतन" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%86%E0%A6%AF%E0%A6%BC%E0%A6%A4%E0%A6%A8" title="আয়তন – బంగ్లా" lang="bn" hreflang="bn" data-title="আয়তন" data-language-autonym="বাংলা" data-language-local-name="బంగ్లా" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Volum" title="Volum – బ్రెటన్" lang="br" hreflang="br" data-title="Volum" data-language-autonym="Brezhoneg" data-language-local-name="బ్రెటన్" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Zapremina" title="Zapremina – బోస్నియన్" lang="bs" hreflang="bs" data-title="Zapremina" data-language-autonym="Bosanski" data-language-local-name="బోస్నియన్" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Volum" title="Volum – కాటలాన్" lang="ca" hreflang="ca" data-title="Volum" data-language-autonym="Català" data-language-local-name="కాటలాన్" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/T%C4%81%CC%A4-c%C3%A9k" title="Tā̤-cék – Mindong" lang="cdo" hreflang="cdo" data-title="Tā̤-cék" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%82%DB%95%D8%A8%D8%A7%D8%B1%DB%95" title="قەبارە – సెంట్రల్ కర్డిష్" lang="ckb" hreflang="ckb" data-title="قەبارە" data-language-autonym="کوردی" data-language-local-name="సెంట్రల్ కర్డిష్" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Objem" title="Objem – చెక్" lang="cs" hreflang="cs" data-title="Objem" data-language-autonym="Čeština" data-language-local-name="చెక్" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9A%D0%B0%D0%BB%C4%83%D0%BF%C4%83%D1%88" title="Калăпăш – చువాష్" lang="cv" hreflang="cv" data-title="Калăпăш" data-language-autonym="Чӑвашла" data-language-local-name="చువాష్" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Cyfaint" title="Cyfaint – వెల్ష్" lang="cy" hreflang="cy" data-title="Cyfaint" data-language-autonym="Cymraeg" data-language-local-name="వెల్ష్" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Rumfang" title="Rumfang – డానిష్" lang="da" hreflang="da" data-title="Rumfang" data-language-autonym="Dansk" data-language-local-name="డానిష్" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Volumen" title="Volumen – జర్మన్" lang="de" hreflang="de" data-title="Volumen" data-language-autonym="Deutsch" data-language-local-name="జర్మన్" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%8C%CE%B3%CE%BA%CE%BF%CF%82" title="Όγκος – గ్రీక్" lang="el" hreflang="el" data-title="Όγκος" data-language-autonym="Ελληνικά" data-language-local-name="గ్రీక్" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Volumeno" title="Volumeno – ఎస్పెరాంటో" lang="eo" hreflang="eo" data-title="Volumeno" data-language-autonym="Esperanto" data-language-local-name="ఎస్పెరాంటో" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Volumen" title="Volumen – స్పానిష్" lang="es" hreflang="es" data-title="Volumen" data-language-autonym="Español" data-language-local-name="స్పానిష్" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ruumala" title="Ruumala – ఎస్టోనియన్" lang="et" hreflang="et" data-title="Ruumala" data-language-autonym="Eesti" data-language-local-name="ఎస్టోనియన్" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Bolumen_(espazioa)" title="Bolumen (espazioa) – బాస్క్యూ" lang="eu" hreflang="eu" data-title="Bolumen (espazioa)" data-language-autonym="Euskara" data-language-local-name="బాస్క్యూ" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85" title="حجم – పర్షియన్" lang="fa" hreflang="fa" data-title="حجم" data-language-autonym="فارسی" data-language-local-name="పర్షియన్" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Tilavuus" title="Tilavuus – ఫిన్నిష్" lang="fi" hreflang="fi" data-title="Tilavuus" data-language-autonym="Suomi" data-language-local-name="ఫిన్నిష్" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Volume" title="Volume – ఫ్రెంచ్" lang="fr" hreflang="fr" data-title="Volume" data-language-autonym="Français" data-language-local-name="ఫ్రెంచ్" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/R%C3%BCm_(Miat)" title="Rüm (Miat) – ఉత్తర ఫ్రిసియన్" lang="frr" hreflang="frr" data-title="Rüm (Miat)" data-language-autonym="Nordfriisk" data-language-local-name="ఉత్తర ఫ్రిసియన్" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Toirt" title="Toirt – ఐరిష్" lang="ga" hreflang="ga" data-title="Toirt" data-language-autonym="Gaeilge" data-language-local-name="ఐరిష్" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E9%AB%94%E7%A9%8D" title="體積 – గాన్ చైనీస్" lang="gan" hreflang="gan" data-title="體積" data-language-autonym="贛語" data-language-local-name="గాన్ చైనీస్" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Voloum" title="Voloum – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Voloum" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Volume_(magnitude)" title="Volume (magnitude) – గాలిషియన్" lang="gl" hreflang="gl" data-title="Volume (magnitude)" data-language-autonym="Galego" data-language-local-name="గాలిషియన్" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Th%C3%AD-chit" title="Thí-chit – హక్కా చైనీస్" lang="hak" hreflang="hak" data-title="Thí-chit" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="హక్కా చైనీస్" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A0%D7%A4%D7%97" title="נפח – హిబ్రూ" lang="he" hreflang="he" data-title="נפח" data-language-autonym="עברית" data-language-local-name="హిబ్రూ" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Pasaar" title="Pasaar – Fiji Hindi" lang="hif" hreflang="hif" data-title="Pasaar" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Obujam" title="Obujam – క్రొయేషియన్" lang="hr" hreflang="hr" data-title="Obujam" data-language-autonym="Hrvatski" data-language-local-name="క్రొయేషియన్" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Volim" title="Volim – హైటియన్ క్రియోల్" lang="ht" hreflang="ht" data-title="Volim" data-language-autonym="Kreyòl ayisyen" data-language-local-name="హైటియన్ క్రియోల్" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/T%C3%A9rfogat" title="Térfogat – హంగేరియన్" lang="hu" hreflang="hu" data-title="Térfogat" data-language-autonym="Magyar" data-language-local-name="హంగేరియన్" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BE%D5%A1%D5%BE%D5%A1%D5%AC" title="Ծավալ – ఆర్మేనియన్" lang="hy" hreflang="hy" data-title="Ծավալ" data-language-autonym="Հայերեն" data-language-local-name="ఆర్మేనియన్" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Volumine" title="Volumine – ఇంటర్లింగ్వా" lang="ia" hreflang="ia" data-title="Volumine" data-language-autonym="Interlingua" data-language-local-name="ఇంటర్లింగ్వా" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Volume" title="Volume – ఇండోనేషియన్" lang="id" hreflang="id" data-title="Volume" data-language-autonym="Bahasa Indonesia" data-language-local-name="ఇండోనేషియన్" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Volumino" title="Volumino – ఈడో" lang="io" hreflang="io" data-title="Volumino" data-language-autonym="Ido" data-language-local-name="ఈడో" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/R%C3%BAmm%C3%A1l" title="Rúmmál – ఐస్లాండిక్" lang="is" hreflang="is" data-title="Rúmmál" data-language-autonym="Íslenska" data-language-local-name="ఐస్లాండిక్" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Volume" title="Volume – ఇటాలియన్" lang="it" hreflang="it" data-title="Volume" data-language-autonym="Italiano" data-language-local-name="ఇటాలియన్" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%BD%93%E7%A9%8D" title="体積 – జపనీస్" lang="ja" hreflang="ja" data-title="体積" data-language-autonym="日本語" data-language-local-name="జపనీస్" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Valyuum" title="Valyuum – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Valyuum" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Volume" title="Volume – జావనీస్" lang="jv" hreflang="jv" data-title="Volume" data-language-autonym="Jawa" data-language-local-name="జావనీస్" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%9D%E1%83%AA%E1%83%A3%E1%83%9A%E1%83%9D%E1%83%91%E1%83%90" title="მოცულობა – జార్జియన్" lang="ka" hreflang="ka" data-title="მოცულობა" data-language-autonym="ქართული" data-language-local-name="జార్జియన్" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Able%C9%A3" title="Ableɣ – కాబిల్" lang="kab" hreflang="kab" data-title="Ableɣ" data-language-autonym="Taqbaylit" data-language-local-name="కాబిల్" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/Wonuu_pa%C9%A3laka" title="Wonuu paɣlaka – Kabiye" lang="kbp" hreflang="kbp" data-title="Wonuu paɣlaka" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</span></a></li><li class="interlanguage-link interwiki-kge mw-list-item"><a href="https://kge.wikipedia.org/wiki/Isi_(Volume)" title="Isi (Volume) – Komering" lang="kge" hreflang="kge" data-title="Isi (Volume)" data-language-autonym="Kumoring" data-language-local-name="Komering" class="interlanguage-link-target"><span>Kumoring</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D3%A9%D0%BB%D0%B5%D0%BC" title="Көлем – కజఖ్" lang="kk" hreflang="kk" data-title="Көлем" data-language-autonym="Қазақша" data-language-local-name="కజఖ్" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B6%80%ED%94%BC" title="부피 – కొరియన్" lang="ko" hreflang="ko" data-title="부피" data-language-autonym="한국어" data-language-local-name="కొరియన్" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-krc mw-list-item"><a href="https://krc.wikipedia.org/wiki/%D0%A1%D1%8B%D0%B9%D1%8B%D0%BC" title="Сыйым – కరచే-బల్కార్" lang="krc" hreflang="krc" data-title="Сыйым" data-language-autonym="Къарачай-малкъар" data-language-local-name="కరచే-బల్కార్" class="interlanguage-link-target"><span>Къарачай-малкъар</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Qeware" title="Qeware – కుర్దిష్" lang="ku" hreflang="ku" data-title="Qeware" data-language-autonym="Kurdî" data-language-local-name="కుర్దిష్" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9A%D3%A9%D0%BB%D3%A9%D0%BC" title="Көлөм – కిర్గిజ్" lang="ky" hreflang="ky" data-title="Көлөм" data-language-autonym="Кыргызча" data-language-local-name="కిర్గిజ్" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Capacitas_et_volumen" title="Capacitas et volumen – లాటిన్" lang="la" hreflang="la" data-title="Capacitas et volumen" data-language-autonym="Latina" data-language-local-name="లాటిన్" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Volumen" title="Volumen – లక్సెంబర్గిష్" lang="lb" hreflang="lb" data-title="Volumen" data-language-autonym="Lëtzebuergesch" data-language-local-name="లక్సెంబర్గిష్" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Vol%C3%B9mme" title="Volùmme – Ligurian" lang="lij" hreflang="lij" data-title="Volùmme" data-language-autonym="Ligure" data-language-local-name="Ligurian" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/T%C5%ABris" title="Tūris – లిథువేనియన్" lang="lt" hreflang="lt" data-title="Tūris" data-language-autonym="Lietuvių" data-language-local-name="లిథువేనియన్" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-ltg mw-list-item"><a href="https://ltg.wikipedia.org/wiki/Vydums" title="Vydums – Latgalian" lang="ltg" hreflang="ltg" data-title="Vydums" data-language-autonym="Latgaļu" data-language-local-name="Latgalian" class="interlanguage-link-target"><span>Latgaļu</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Tilpums" title="Tilpums – లాట్వియన్" lang="lv" hreflang="lv" data-title="Tilpums" data-language-autonym="Latviešu" data-language-local-name="లాట్వియన్" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Hadiry" title="Hadiry – మలగాసి" lang="mg" hreflang="mg" data-title="Hadiry" data-language-autonym="Malagasy" data-language-local-name="మలగాసి" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%97%D0%B0%D1%84%D0%B0%D1%82%D0%BD%D0%B8%D0%BD%D0%B0" title="Зафатнина – మాసిడోనియన్" lang="mk" hreflang="mk" data-title="Зафатнина" data-language-autonym="Македонски" data-language-local-name="మాసిడోనియన్" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%AD%D0%B7%D0%BB%D1%8D%D1%85%D2%AF%D2%AF%D0%BD" title="Эзлэхүүн – మంగోలియన్" lang="mn" hreflang="mn" data-title="Эзлэхүүн" data-language-autonym="Монгол" data-language-local-name="మంగోలియన్" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%86%E0%A4%95%E0%A4%BE%E0%A4%B0%E0%A4%AE%E0%A4%BE%E0%A4%A8" title="आकारमान – మరాఠీ" lang="mr" hreflang="mr" data-title="आकारमान" data-language-autonym="मराठी" data-language-local-name="మరాఠీ" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Isi_padu" title="Isi padu – మలయ్" lang="ms" hreflang="ms" data-title="Isi padu" data-language-autonym="Bahasa Melayu" data-language-local-name="మలయ్" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%91%E1%80%AF%E1%80%91%E1%80%8A%E1%80%BA" title="ထုထည် – బర్మీస్" lang="my" hreflang="my" data-title="ထုထည်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="బర్మీస్" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="आयतन – నేపాలి" lang="ne" hreflang="ne" data-title="आयतन" data-language-autonym="नेपाली" data-language-local-name="నేపాలి" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Inhoud_(volume)" title="Inhoud (volume) – డచ్" lang="nl" hreflang="nl" data-title="Inhoud (volume)" data-language-autonym="Nederlands" data-language-local-name="డచ్" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Volum" title="Volum – నార్వేజియాన్ న్యోర్స్క్" lang="nn" hreflang="nn" data-title="Volum" data-language-autonym="Norsk nynorsk" data-language-local-name="నార్వేజియాన్ న్యోర్స్క్" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Volum" title="Volum – నార్వేజియన్ బొక్మాల్" lang="nb" hreflang="nb" data-title="Volum" data-language-autonym="Norsk bokmål" data-language-local-name="నార్వేజియన్ బొక్మాల్" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Volum" title="Volum – ఆక్సిటన్" lang="oc" hreflang="oc" data-title="Volum" data-language-autonym="Occitan" data-language-local-name="ఆక్సిటన్" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Qabee" title="Qabee – ఒరోమో" lang="om" hreflang="om" data-title="Qabee" data-language-autonym="Oromoo" data-language-local-name="ఒరోమో" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%86%E0%A8%87%E0%A8%A4%E0%A8%A8" title="ਆਇਤਨ – పంజాబీ" lang="pa" hreflang="pa" data-title="ਆਇਤਨ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="పంజాబీ" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Obj%C4%99to%C5%9B%C4%87" title="Objętość – పోలిష్" lang="pl" hreflang="pl" data-title="Objętość" data-language-autonym="Polski" data-language-local-name="పోలిష్" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85" title="حجم – Western Punjabi" lang="pnb" hreflang="pnb" data-title="حجم" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Volume" title="Volume – పోర్చుగీస్" lang="pt" hreflang="pt" data-title="Volume" data-language-autonym="Português" data-language-local-name="పోర్చుగీస్" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/P%27ulin" title="P'ulin – కెచువా" lang="qu" hreflang="qu" data-title="P'ulin" data-language-autonym="Runa Simi" data-language-local-name="కెచువా" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Volum_(geometrie)" title="Volum (geometrie) – రోమేనియన్" lang="ro" hreflang="ro" data-title="Volum (geometrie)" data-language-autonym="Română" data-language-local-name="రోమేనియన్" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9E%D0%B1%D1%8A%D1%91%D0%BC" title="Объём – రష్యన్" lang="ru" hreflang="ru" data-title="Объём" data-language-autonym="Русский" data-language-local-name="రష్యన్" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8%E0%A4%AE%E0%A5%8D" title="आयतनम् – సంస్కృతం" lang="sa" hreflang="sa" data-title="आयतनम्" data-language-autonym="संस्कृतम्" data-language-local-name="సంస్కృతం" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Vulumi" title="Vulumi – సిసిలియన్" lang="scn" hreflang="scn" data-title="Vulumi" data-language-autonym="Sicilianu" data-language-local-name="సిసిలియన్" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Vollum" title="Vollum – స్కాట్స్" lang="sco" hreflang="sco" data-title="Vollum" data-language-autonym="Scots" data-language-local-name="స్కాట్స్" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85" title="حجم – సింధీ" lang="sd" hreflang="sd" data-title="حجم" data-language-autonym="سنڌي" data-language-local-name="సింధీ" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Volumen" title="Volumen – సేర్బో-క్రొయేషియన్" lang="sh" hreflang="sh" data-title="Volumen" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="సేర్బో-క్రొయేషియన్" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Volume" title="Volume – Simple English" lang="en-simple" hreflang="en-simple" data-title="Volume" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Objem_(matematika)" title="Objem (matematika) – స్లోవక్" lang="sk" hreflang="sk" data-title="Objem (matematika)" data-language-autonym="Slovenčina" data-language-local-name="స్లోవక్" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Prostornina" title="Prostornina – స్లోవేనియన్" lang="sl" hreflang="sl" data-title="Prostornina" data-language-autonym="Slovenščina" data-language-local-name="స్లోవేనియన్" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Mumhu" title="Mumhu – షోన" lang="sn" hreflang="sn" data-title="Mumhu" data-language-autonym="ChiShona" data-language-local-name="షోన" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Mug" title="Mug – సోమాలి" lang="so" hreflang="so" data-title="Mug" data-language-autonym="Soomaaliga" data-language-local-name="సోమాలి" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/V%C3%ABllimi" title="Vëllimi – అల్బేనియన్" lang="sq" hreflang="sq" data-title="Vëllimi" data-language-autonym="Shqip" data-language-local-name="అల్బేనియన్" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%97%D0%B0%D0%BF%D1%80%D0%B5%D0%BC%D0%B8%D0%BD%D0%B0" title="Запремина – సెర్బియన్" lang="sr" hreflang="sr" data-title="Запремина" data-language-autonym="Српски / srpski" data-language-local-name="సెర్బియన్" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Volym" title="Volym – స్వీడిష్" lang="sv" hreflang="sv" data-title="Volym" data-language-autonym="Svenska" data-language-local-name="స్వీడిష్" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Mjao" title="Mjao – స్వాహిలి" lang="sw" hreflang="sw" data-title="Mjao" data-language-autonym="Kiswahili" data-language-local-name="స్వాహిలి" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Uobjynto%C5%9B%C4%87" title="Uobjyntość – Silesian" lang="szl" hreflang="szl" data-title="Uobjyntość" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D2%B2%D0%B0%D2%B7%D0%BC" title="Ҳаҷм – తజిక్" lang="tg" hreflang="tg" data-title="Ҳаҷм" data-language-autonym="Тоҷикӣ" data-language-local-name="తజిక్" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9B%E0%B8%A3%E0%B8%B4%E0%B8%A1%E0%B8%B2%E0%B8%95%E0%B8%A3" title="ปริมาตร – థాయ్" lang="th" hreflang="th" data-title="ปริมาตร" data-language-autonym="ไทย" data-language-local-name="థాయ్" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/G%C3%B6wr%C3%BCm_birlikleri" title="Göwrüm birlikleri – తుర్క్‌మెన్" lang="tk" hreflang="tk" data-title="Göwrüm birlikleri" data-language-autonym="Türkmençe" data-language-local-name="తుర్క్‌మెన్" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Volyum" title="Volyum – టగలాగ్" lang="tl" hreflang="tl" data-title="Volyum" data-language-autonym="Tagalog" data-language-local-name="టగలాగ్" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Hacim" title="Hacim – టర్కిష్" lang="tr" hreflang="tr" data-title="Hacim" data-language-autonym="Türkçe" data-language-local-name="టర్కిష్" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9E%D0%B1%27%D1%94%D0%BC" title="Об'єм – ఉక్రెయినియన్" lang="uk" hreflang="uk" data-title="Об'єм" data-language-autonym="Українська" data-language-local-name="ఉక్రెయినియన్" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85" title="حجم – ఉర్దూ" lang="ur" hreflang="ur" data-title="حجم" data-language-autonym="اردو" data-language-local-name="ఉర్దూ" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Hajm" title="Hajm – ఉజ్బెక్" lang="uz" hreflang="uz" data-title="Hajm" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="ఉజ్బెక్" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Vo%C5%82ume" title="Vołume – Venetian" lang="vec" hreflang="vec" data-title="Vołume" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Th%E1%BB%83_t%C3%ADch" title="Thể tích – వియత్నామీస్" lang="vi" hreflang="vi" data-title="Thể tích" data-language-autonym="Tiếng Việt" data-language-local-name="వియత్నామీస్" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Bolyum" title="Bolyum – వారే" lang="war" hreflang="war" data-title="Bolyum" data-language-autonym="Winaray" data-language-local-name="వారే" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E4%BD%93%E7%A7%AF" title="体积 – వు చైనీస్" lang="wuu" hreflang="wuu" data-title="体积" data-language-autonym="吴语" data-language-local-name="వు చైనీస్" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BD%93%E7%A7%AF" title="体积 – చైనీస్" lang="zh" hreflang="zh" data-title="体积" data-language-autonym="中文" data-language-local-name="చైనీస్" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Th%C3%A9-chek" title="Thé-chek – మిన్ నాన్ చైనీస్" lang="nan" hreflang="nan" data-title="Thé-chek" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="మిన్ నాన్ చైనీస్" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%AB%94%E7%A9%8D" title="體積 – కాంటనీస్" lang="yue" hreflang="yue" data-title="體積" data-language-autonym="粵語" data-language-local-name="కాంటనీస్" 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href="/w/index.php?title=%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%A4%E0%B1%8D%E0%B0%AF%E0%B1%87%E0%B0%95:UrlQ%C4%B1sald%C4%B1c%C4%B1s%C4%B1&url=https%3A%2F%2Fte.wikipedia.org%2Fwiki%2F%25E0%25B0%2598%25E0%25B0%25A8%25E0%25B0%25AA%25E0%25B0%25B0%25E0%25B0%25BF%25E0%25B0%25AE%25E0%25B0%25BE%25E0%25B0%25A3%25E0%25B0%25AE%25E0%25B1%2581"><span>పొట్టి URL ని పొందండి</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=%E0%B0%AA%E0%B1%8D%E0%B0%B0%E0%B0%A4%E0%B1%8D%E0%B0%AF%E0%B1%87%E0%B0%95:QrKodu&url=https%3A%2F%2Fte.wikipedia.org%2Fwiki%2F%25E0%25B0%2598%25E0%25B0%25A8%25E0%25B0%25AA%25E0%25B0%25B0%25E0%25B0%25BF%25E0%25B0%25AE%25E0%25B0%25BE%25E0%25B0%25A3%25E0%25B0%25AE%25E0%25B1%2581"><span>Download QR code</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> ముద్రణ/ఎగుమతి </div> <div class="vector-menu-content"> <ul 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td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox"><tbody><tr><th colspan="2" class="infobox-above">ఘనపరిమాణం</th></tr><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"><a href="/wiki/%E0%B0%A6%E0%B0%B8%E0%B1%8D%E0%B0%A4%E0%B1%8D%E0%B0%B0%E0%B0%82:Simple_Measuring_Cup.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/27/Simple_Measuring_Cup.jpg/250px-Simple_Measuring_Cup.jpg" decoding="async" width="250" height="289" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/27/Simple_Measuring_Cup.jpg/375px-Simple_Measuring_Cup.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/27/Simple_Measuring_Cup.jpg/500px-Simple_Measuring_Cup.jpg 2x" data-file-width="1020" data-file-height="1180" /></a></span><div class="infobox-caption">ద్రవాల ఘనపరిమాణం కొలుచు కప్పు. ఈ కప్పు ఘనపరిమాణాన్ని కప్పులలో, ప్రవాహి ఔన్సులలో, మిల్లీ లీటర్లలో గణిస్తుంది.</div></td></tr><tr><th scope="row" class="infobox-label"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;">Common symbols</div></th><td class="infobox-data"><i>V</i></td></tr><tr><th scope="row" class="infobox-label">SI ప్రమాణం</th><td class="infobox-data">ఘనపు మీటర్ [మీ<sup>3</sup>]</td></tr><tr><th scope="row" class="infobox-label"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;">Other units</div></th><td class="infobox-data">లీటరు, ప్లూయిడ్ ఔన్సు, గాలన్, క్వార్ట్, పింట్, టి.ఎస్.పి, ప్లూయిడ్ డ్రాం, ఘనపు అంగుళం, ఘనపు యార్డు, బారెల్</td></tr><tr><th scope="row" class="infobox-label">In <a href="/w/index.php?title=SI_base_unit&action=edit&redlink=1" class="new" title="SI base unit (పేజీ ఉనికిలో లేదు)"><span class="wrap">SI base units</span></a></th><td class="infobox-data">1 <a href="/wiki/%E0%B0%AE%E0%B1%80%E0%B0%9F%E0%B0%B0%E0%B1%81" title="మీటరు">m</a><sup>3</sup></td></tr><tr><th scope="row" class="infobox-label"><a href="/w/index.php?title=Dimensional_analysis&action=edit&redlink=1" class="new" title="Dimensional analysis (పేజీ ఉనికిలో లేదు)">Dimension</a></th><td class="infobox-data"><b>L</b><sup>3</sup></td></tr></tbody></table> <p>ఒక వస్తువు త్రిమితీయ అంతరాళంలో ఎంత పరిమాణాన్ని (స్థలాన్ని) ఆక్రమిస్తుందో దానిని ఆ వస్తువు యొక్క <b>ఘనపరిమాణము</b> అంటారు. ఈ వస్తువు ఘన, ద్రవ, వాయు, ప్లాస్మా పదార్దమేదయినా కావచ్చును.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> ఘనపరిమాణాన్ని ఎస్.ఐ ప్రమాణాలలో "ఘనపు మీటర్లు" లో కొలుస్తారు. పాత్ర ఘనపరిమాణం అనగా ఆ పాత్ర సామర్థ్యాన్ని తెలియజేస్తుంది. అనగా ఆ పాత్రలో ఎంత పరిమాణంలో ప్రవాహి (ద్రవం లేదా వాయువు) పడుతుందో తెలియజేస్తుంది. త్రిమితీయ గణిత ఆకారాలకు నిర్ధిష్ట ఘనపరిమాణం ఉంటుంది. సాధారణ ఆకృతుల ఘనపరిమాణాలు అనగా క్రమాకారాలు, రేఖీయ అంచులు, వక్రతల ఆకారాల ఘనపరిమాణాలను అంకగణిత ఫార్ములాలతో కనుగొనవచ్చును. </p><p>ఆ ఆకారం సరిహద్దుకు సంబంధించిన ఫార్ములా ఉన్న సంక్లిష్ట ఆకారాల ఘనపరిమాణాలను సమాకలన కలనగణితంతో గణన చేయవచ్చును. ఏక మితీయ ఆకారాలు (సరళ రేఖల వంటివి), ద్విమితీయ ఆకారాలు (చతురస్రం వంటివి) త్రిమితీయ అంతరాళంలో శూన్య ఘనపరిమాణం కలిగి ఉంటాయి. </p> <style data-mw-deduplicate="TemplateStyles:r4246472">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:#f9f9f9;display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1;min-width:0}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r3779865">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/40px-Wiktionary-logo-en-v2.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/60px-Wiktionary-logo-en-v2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/80px-Wiktionary-logo-en-v2.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span></div> <div class="side-box-text plainlist">Look up <i><b><a href="https://en.wiktionary.org/wiki/Special:Search/%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81" class="extiw" title="wiktionary:Special:Search/ఘనపరిమాణము">ఘనపరిమాణము</a></b></i> in Wiktionary, the free dictionary.</div></div> </div><p>ఒక ఘనపదార్థ ఘనపరిమాణం (అది అక్రమామారం అయినదయినప్పటికీ) ప్రవాహి స్థానబ్రంశం ద్వారా కూడా గణన చేయవచ్చును. వాయువుల ఘనపరిమాణాన్ని గణన చేయునపుడు ద్రవం స్థానబ్రంశం చేసే పరిమాణాన్ని లెక్కించి గణన చేయవచ్చును. రెండు పదార్దాల ఉమ్మడి ఘనపరిమాణం అందులో ఒక పదార్థ ఘనపరిమాణం కన్నా ఎక్కువ ఉంటుంది. అయినప్పటికీ ఒక పదార్థం మరొక పదార్థంలో కరిగి ఉండే సందర్భాలలో ఉమ్మడి ఘనపరిమాణం పెరగదు<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>. </p><p>ఉష్ణగతిక శాస్త్రంలో ఘనపరిమాణం అనేది ప్రాథమిక పరామితి. ఇది పీడనానికి కాంజుగేట్ వేరియబుల్ గా ఉంటుంది. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="ప్రమాణాలు"><span id=".E0.B0.AA.E0.B1.8D.E0.B0.B0.E0.B0.AE.E0.B0.BE.E0.B0.A3.E0.B0.BE.E0.B0.B2.E0.B1.81"></span>ప్రమాణాలు</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81&action=edit&section=1" title="విభాగాన్ని మార్చు: ప్రమాణాలు"><span>మార్చు</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="https://en.wikipedia.org/wiki/File:Volume_measurements_from_The_New_Student's_Reference_Work.svg"><img resource="/wiki/%E0%B0%A6%E0%B0%B8%E0%B1%8D%E0%B0%A4%E0%B1%8D%E0%B0%B0%E0%B0%82:Volume_measurements_from_The_New_Student%27s_Reference_Work.svg" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Volume_measurements_from_The_New_Student%27s_Reference_Work.svg/220px-Volume_measurements_from_The_New_Student%27s_Reference_Work.svg.png" decoding="async" width="220" height="94" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Volume_measurements_from_The_New_Student%27s_Reference_Work.svg/330px-Volume_measurements_from_The_New_Student%27s_Reference_Work.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/93/Volume_measurements_from_The_New_Student%27s_Reference_Work.svg/440px-Volume_measurements_from_The_New_Student%27s_Reference_Work.svg.png 2x" data-file-width="1400" data-file-height="600" /></a><figcaption>Volume measurements from the 1914 <a href="https://en.wikisource.org/wiki/The_New_Student%27s_Reference_Work" class="extiw" title="wikisource:The New Student's Reference Work">The New Student's Reference Work</a>. <table class="navbox" style="width:200px;"> <caption>Approximate conversion to metric (mL)<b><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup></b> </caption> <tbody><tr> <th rowspan="2"> </th> <th rowspan="2"><abbr title="Imperial">Imp.</abbr> </th> <th colspan="2">U.S. </th></tr> <tr> <th>Liquid </th> <th>Dry </th></tr> <tr> <td><a href="https://en.wikipedia.org/wiki/Gill_(unit)" class="extiw" title="en:Gill (unit)">Gill</a> </td> <td>142 </td> <td>118 </td> <td>138 </td></tr> <tr> <td><a href="https://en.wikipedia.org/wiki/Pint" class="extiw" title="en:Pint">Pint</a> </td> <td>568 </td> <td>473 </td> <td>551 </td></tr> <tr> <td><a href="https://en.wikipedia.org/wiki/Quart" class="extiw" title="en:Quart">Quart</a> </td> <td>1137 </td> <td>946 </td> <td>1101 </td></tr> <tr> <td><a href="https://en.wikipedia.org/wiki/Gallon" class="extiw" title="en:Gallon">Gallon</a> </td> <td>4546 </td> <td>3785 </td> <td>4405 </td></tr></tbody></table> </figcaption></figure> <p>ఏదైనా ప్రమాన పొడవు దానికి సంబంధించిన ప్రమాణ ఘనపరిమాణాన్నిస్తుంది: ఒక సమఘనం ఘనపరిమాణం దాని భుజం పొడవు ఆధారంగా లెక్కించబడుతుంది. ఉదాహరణకు ఒక సెంటీ మీటరు భుజం గల సమఘనం ఘనపరిమాణం ఒక ఘనము సెంటీమీటరు (cm<sup>3</sup> ) అవుతుంది. </p><p>ఉదాహరణకు ఏదైనా దీర్ఘఘనం పొడవు 3 సెం.మీ, వెడల్పు 4 సెం.మీ, ఎత్తు 6 సెం.మీ ఉంటే దాని ఘనపరిమాణం దాని పొడవు, వెడల్పు, ఎత్తుల లబ్దానికి సమానంగా ఉంటుంది. అనగా దాని ఘనపరిమాణం 72 ఘనపు సెంటీ మీటర్లు అవుతుంది. అనగా ఆ దీర్ఘఘనంలో 1 cm<sup>3</sup> ఘనపరిమాణం గల సమఘనాలు 72 పడతాయని అర్థం. </p><p>అంతర్జాతీయ ప్రమాణాల వ్యవస్థ (ఎస్.ఐ) లో ఘనపరిమాణానికి ప్రామాణిక ప్రమాణం ఘనపు మీటరు (m<sup>3</sup>). మెట్రిక్ వ్యవస్థలో లీటరు (L) ను ప్రమాణంగా తీసుకుంటారు. ఒక లీటరు ఘనపరిమాణం 1000 ఘనపు సెంటీమీటర్ల పరిమాణానికి సమానంగా ఉంటుంది. </p><p>1 లీటరు = (10 సెం.మీ)<sup>3</sup> = 1000 ఘనపు సెంటీ మీటర్లు = 0.001 ఘనపు మీటర్లు, </p><p>అందువలన </p> <dl><dd>1 ఘనపు మీటరు = 1000 లీటర్లు.</dd></dl> <p>తక్కువ పరిమాణం గల ద్రవాలను సాధారణంగా మిల్లీలీటర్లలో కొలుస్తారు. </p> <dl><dd>1 మిల్లీలీటర్లు = 0.001 లీటర్లు = 1 ఘనపు సెంటీమీటరు.</dd></dl> <p>అదే విధంగా, అదిక పరిమాణం గల ద్రవాలను మెగాలీటర్లు ప్రమాణాలలో కొలుస్తారు. </p> <dl><dd>1 మిలియన్ లీటర్లు = 1000 ఘనపు మీటర్లు = 1 మెగా లీటరు.</dd></dl> <p>ఘనపరిమాణం ను వివిధ సాంప్రదాయ పద్ధతులలో కొలుస్తారు. వాటిలో ఘనపు అంగుళం, ఘనపు అడుగు, ఘనపు గజం, ఘనము మైలు, టీ స్పూను, టేబుల్ స్పూను, ఫ్లూయిడ్ ఔన్సు, ఫ్లూయిడ్ డ్రాం, గిల్, పింట్, క్వార్ట్, గాలన్, మినిం, బరెల్, కోర్డ్, పెక్, బుషెల్, హాగ్స్‌హెడ్, ఏకర్-ఫుట్, బోర్డ్ ఫుట్ వంటి ప్రమాణాలలో కొలుస్తారు. </p> <div class="mw-heading mw-heading2"><h2 id="కలన_గణితంలో_ఘనపరిమాణం"><span id=".E0.B0.95.E0.B0.B2.E0.B0.A8_.E0.B0.97.E0.B0.A3.E0.B0.BF.E0.B0.A4.E0.B0.82.E0.B0.B2.E0.B1.8B_.E0.B0.98.E0.B0.A8.E0.B0.AA.E0.B0.B0.E0.B0.BF.E0.B0.AE.E0.B0.BE.E0.B0.A3.E0.B0.82"></span>కలన గణితంలో ఘనపరిమాణం</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81&action=edit&section=2" title="విభాగాన్ని మార్చు: కలన గణితంలో ఘనపరిమాణం"><span>మార్చు</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>గణిత శాస్త్ర విభాగమైన కలన గణితంలో <b>R</b><sup>3</sup> లో <i>D</i> ప్రాంతం ఘనపరిమాణాన్ని మొత్తం ప్రాంతమునకు స్థిర ప్రమేయం <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f(x,y,z)=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mi>z</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(x,y,z)=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f4c4ea840cd139e57682ad1838bf974a9f315d84" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.99ex; height:2.843ex;" alt="{\displaystyle f(x,y,z)=1}"></span> యొక్క ట్రిపుల్ ఇంటెగ్రల్ గణన చేసి కనుగొనవచ్చు. దీనిని క్రింది విధంగా రాయవచ్చు. </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \iiint \limits _{D}1\,dx\,dy\,dz.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo>∭</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>D</mi> </mrow> </munder> <mn>1</mn> <mspace width="thinmathspace" /> <mi>d</mi> <mi>x</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>y</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>z</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \iiint \limits _{D}1\,dx\,dy\,dz.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a6a54ef4d87ac3931c1677b7e0c2b28ec76645f5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:15.179ex; height:7.343ex;" alt="{\displaystyle \iiint \limits _{D}1\,dx\,dy\,dz.}"></span></dd></dl> <p>సిలిండ్రికల్ కోఆర్డినేట్లలో (స్థూపాకార నిరూపక వ్యవస్థలో) ఘనపరిమాణ సమాకలనం: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \iiint \limits _{D}r\,dr\,d\theta \,dz,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo>∭</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>D</mi> </mrow> </munder> <mi>r</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>r</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>θ</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>z</mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \iiint \limits _{D}r\,dr\,d\theta \,dz,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f4466553b35a4fa23a7a2db498a3af6da466673" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:14.719ex; height:7.343ex;" alt="{\displaystyle \iiint \limits _{D}r\,dr\,d\theta \,dz,}"></span></dd></dl> <p>స్పెరికల్ కోఆర్డినేట్ల లో ఘనపరిమాణ సమాకలనం: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \iiint \limits _{D}\rho ^{2}\sin \varphi \,d\rho \,d\theta \,d\varphi .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo>∭</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>D</mi> </mrow> </munder> <msup> <mi>ρ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>sin</mi> <mo>⁡</mo> <mi>φ</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>ρ</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>θ</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>φ</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \iiint \limits _{D}\rho ^{2}\sin \varphi \,d\rho \,d\theta \,d\varphi .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/246b5e30cac484c7d82388e7c983ae35c82a77d3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:21.661ex; height:7.343ex;" alt="{\displaystyle \iiint \limits _{D}\rho ^{2}\sin \varphi \,d\rho \,d\theta \,d\varphi .}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="ఘనపరిమాణ_సూత్రములు"><span id=".E0.B0.98.E0.B0.A8.E0.B0.AA.E0.B0.B0.E0.B0.BF.E0.B0.AE.E0.B0.BE.E0.B0.A3_.E0.B0.B8.E0.B1.82.E0.B0.A4.E0.B1.8D.E0.B0.B0.E0.B0.AE.E0.B1.81.E0.B0.B2.E0.B1.81"></span>ఘనపరిమాణ సూత్రములు</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81&action=edit&section=3" title="విభాగాన్ని మార్చు: ఘనపరిమాణ సూత్రములు"><span>మార్చు</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th>ఆకారం </th> <th>ఘనపరిమాణమునకు సూత్రము </th> <th>పటములు </th></tr> <tr> <td>సమఘనం </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V=a^{3}\;}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mspace width="thickmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V=a^{3}\;}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5cb35b07b0b9c7a7c27cd548a52d8e740ef123f0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.815ex; height:2.676ex;" alt="{\displaystyle V=a^{3}\;}"></span> </td> <td style="text-align:center"><span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/File:Wuerfel-1-tab.svg"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Wuerfel-1-tab.svg/80px-Wuerfel-1-tab.svg.png" decoding="async" width="80" height="85" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Wuerfel-1-tab.svg/120px-Wuerfel-1-tab.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Wuerfel-1-tab.svg/159px-Wuerfel-1-tab.svg.png 2x" data-file-width="117" data-file-height="125" /></a></span> </td></tr> <tr> <td>దీర్ఘ ఘనం </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V=abc}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mi>a</mi> <mi>b</mi> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V=abc}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b7737eb5e2587796bce106337c56f7ff78759410" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.12ex; height:2.176ex;" alt="{\displaystyle V=abc}"></span> </td> <td style="text-align:center"><span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/File:Quader-1-tab.svg"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Quader-1-tab.svg/150px-Quader-1-tab.svg.png" decoding="async" width="150" height="85" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Quader-1-tab.svg/225px-Quader-1-tab.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Quader-1-tab.svg/300px-Quader-1-tab.svg.png 2x" data-file-width="187" data-file-height="106" /></a></span> </td></tr> <tr> <td>పట్టకం <p>(<i>B</i>: భూ వైశాల్యం ) </p> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V=Bh}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mi>B</mi> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V=Bh}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3e15c6d53c110a03b62daee85cbaaec7b1ab338" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.989ex; height:2.176ex;" alt="{\displaystyle V=Bh}"></span> </td> <td style="text-align:center"><span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/File:Prisma-1-e.svg"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d5/Prisma-1-e.svg/120px-Prisma-1-e.svg.png" decoding="async" width="120" height="91" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d5/Prisma-1-e.svg/180px-Prisma-1-e.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d5/Prisma-1-e.svg/240px-Prisma-1-e.svg.png 2x" data-file-width="169" data-file-height="128" /></a></span> </td></tr> <tr> <td>(<i>B</i>: భూ వైశాల్యం ) </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V={\frac {1}{3}}Bh}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mi>B</mi> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={\frac {1}{3}}Bh}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/80f4c7ff5692b014fbe2d5fe79b686c149a3f4ea" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.987ex; height:5.176ex;" alt="{\displaystyle V={\frac {1}{3}}Bh}"></span> </td> <td style="text-align:center"><span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/File:Pyramide-46-e.svg"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Pyramide-46-e.svg/200px-Pyramide-46-e.svg.png" decoding="async" width="200" height="88" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Pyramide-46-e.svg/300px-Pyramide-46-e.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Pyramide-46-e.svg/400px-Pyramide-46-e.svg.png 2x" data-file-width="310" data-file-height="137" /></a></span> </td></tr> <tr> <td>క్రమ టెట్రా హైడ్రన్ </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V={{\sqrt {2}} \over 12}a^{3}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mn>12</mn> </mfrac> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={{\sqrt {2}} \over 12}a^{3}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/31971482bdf2fac78a80583f818dc40f518b2d07" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.491ex; height:5.843ex;" alt="{\displaystyle V={{\sqrt {2}} \over 12}a^{3}\,}"></span> </td> <td style="text-align:center"><span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/File:Tetraeder-1-tab.svg"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Tetraeder-1-tab.svg/100px-Tetraeder-1-tab.svg.png" decoding="async" width="100" height="92" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Tetraeder-1-tab.svg/150px-Tetraeder-1-tab.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/42/Tetraeder-1-tab.svg/200px-Tetraeder-1-tab.svg.png 2x" data-file-width="189" data-file-height="173" /></a></span> </td></tr> <tr> <td>గోళం </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V={\frac {4}{3}}\pi r^{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={\frac {4}{3}}\pi r^{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07808adf2ca4b2aeb69b6c15fb6251a3a3617c91" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.319ex; height:5.176ex;" alt="{\displaystyle V={\frac {4}{3}}\pi r^{3}}"></span> </td> <td style="text-align:center"><span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/File:Kugel-1-tab.svg"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Kugel-1-tab.svg/100px-Kugel-1-tab.svg.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Kugel-1-tab.svg/150px-Kugel-1-tab.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Kugel-1-tab.svg/200px-Kugel-1-tab.svg.png 2x" data-file-width="155" data-file-height="155" /></a></span> </td></tr> <tr> <td>దీర్ఘ గోళం </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V={\frac {4}{3}}\pi abc}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <mi>a</mi> <mi>b</mi> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={\frac {4}{3}}\pi abc}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/624b2d9cfef1340ca3cc1aaddec67138338d6851" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.45ex; height:5.176ex;" alt="{\displaystyle V={\frac {4}{3}}\pi abc}"></span> </td> <td style="text-align:center"><span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/File:Ellipsoid-1-tab.svg"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/Ellipsoid-1-tab.svg/150px-Ellipsoid-1-tab.svg.png" decoding="async" width="150" height="92" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/20/Ellipsoid-1-tab.svg/225px-Ellipsoid-1-tab.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/20/Ellipsoid-1-tab.svg/300px-Ellipsoid-1-tab.svg.png 2x" data-file-width="209" data-file-height="128" /></a></span> </td></tr> <tr> <td>వృత్తాకార స్థూపం </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V=\pi r^{2}h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V=\pi r^{2}h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1d4495afedaf8e7b093bfcaf0b5969678df6a89e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.66ex; height:2.676ex;" alt="{\displaystyle V=\pi r^{2}h}"></span> </td> <td style="text-align:center"><span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/File:Zylinder-1-tab.svg"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/81/Zylinder-1-tab.svg/100px-Zylinder-1-tab.svg.png" decoding="async" width="100" height="105" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/81/Zylinder-1-tab.svg/151px-Zylinder-1-tab.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/81/Zylinder-1-tab.svg/201px-Zylinder-1-tab.svg.png 2x" data-file-width="155" data-file-height="162" /></a></span> </td></tr> <tr> <td>శంకువు </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle V={\frac {1}{3}}\pi r^{2}h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V={\frac {1}{3}}\pi r^{2}h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8148cf955aa0660882254207e18ef9bf92463d8c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.658ex; height:5.176ex;" alt="{\displaystyle V={\frac {1}{3}}\pi r^{2}h}"></span> </td> <td style="text-align:center"><span typeof="mw:File"><a href="https://en.wikipedia.org/wiki/File:Kegel-1-tab.svg"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Kegel-1-tab.svg/100px-Kegel-1-tab.svg.png" decoding="async" width="100" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Kegel-1-tab.svg/150px-Kegel-1-tab.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Kegel-1-tab.svg/200px-Kegel-1-tab.svg.png 2x" data-file-width="153" data-file-height="138" /></a></span> </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="ఒకే_వ్యాసార్థం,_ఎత్తు_గల_శంకువు,_గోళం,_స్థూపం_ఘనపరిమాణాల_నిషత్తులు"><span id=".E0.B0.92.E0.B0.95.E0.B1.87_.E0.B0.B5.E0.B1.8D.E0.B0.AF.E0.B0.BE.E0.B0.B8.E0.B0.BE.E0.B0.B0.E0.B1.8D.E0.B0.A5.E0.B0.82.2C_.E0.B0.8E.E0.B0.A4.E0.B1.8D.E0.B0.A4.E0.B1.81_.E0.B0.97.E0.B0.B2_.E0.B0.B6.E0.B0.82.E0.B0.95.E0.B1.81.E0.B0.B5.E0.B1.81.2C_.E0.B0.97.E0.B1.8B.E0.B0.B3.E0.B0.82.2C_.E0.B0.B8.E0.B1.8D.E0.B0.A5.E0.B1.82.E0.B0.AA.E0.B0.82_.E0.B0.98.E0.B0.A8.E0.B0.AA.E0.B0.B0.E0.B0.BF.E0.B0.AE.E0.B0.BE.E0.B0.A3.E0.B0.BE.E0.B0.B2_.E0.B0.A8.E0.B0.BF.E0.B0.B7.E0.B0.A4.E0.B1.8D.E0.B0.A4.E0.B1.81.E0.B0.B2.E0.B1.81"></span>ఒకే వ్యాసార్థం, ఎత్తు గల శంకువు, గోళం, స్థూపం ఘనపరిమాణాల నిషత్తులు</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81&action=edit&section=4" title="విభాగాన్ని మార్చు: ఒకే వ్యాసార్థం, ఎత్తు గల శంకువు, గోళం, స్థూపం ఘనపరిమాణాల నిషత్తులు"><span>మార్చు</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="https://en.wikipedia.org/wiki/File:Inscribed_cone_sphere_cylinder.svg"><img resource="/wiki/%E0%B0%A6%E0%B0%B8%E0%B1%8D%E0%B0%A4%E0%B1%8D%E0%B0%B0%E0%B0%82:Inscribed_cone_sphere_cylinder.svg" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Inscribed_cone_sphere_cylinder.svg/350px-Inscribed_cone_sphere_cylinder.svg.png" decoding="async" width="350" height="175" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Inscribed_cone_sphere_cylinder.svg/525px-Inscribed_cone_sphere_cylinder.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/12/Inscribed_cone_sphere_cylinder.svg/700px-Inscribed_cone_sphere_cylinder.svg.png 2x" data-file-width="512" data-file-height="256" /></a><figcaption>A cone, sphere and cylinder of radius <i>r</i> and height <i>h</i></figcaption></figure> <p>పైన సూచించిన సూత్రములు ఉపయోగించి ఒకే వ్యాసార్థం, ఎత్తు గల శంకువు, గోళం, స్థూపం ఘనపరిమాణాలను గణన చేస్తే వాటి ఘనపరిమానముల నిష్పత్తి <b>1 : 2 : 3</b>, ఉంటుంది. </p><p>వ్యాసార్థం <i>r</i> , ఎత్తు <i>h</i> ( 2<i>r</i> ),అయినపుడు శంకువు ఘనపరిమాణం </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {1}{3}}\pi r^{2}h={\frac {1}{3}}\pi r^{2}\left(2r\right)=\left({\frac {2}{3}}\pi r^{3}\right)\times 1,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>h</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow> <mo>(</mo> <mrow> <mn>2</mn> <mi>r</mi> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mrow> <mo>)</mo> </mrow> <mo>×</mo> <mn>1</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{3}}\pi r^{2}h={\frac {1}{3}}\pi r^{2}\left(2r\right)=\left({\frac {2}{3}}\pi r^{3}\right)\times 1,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/20c1a5567a28c22d243a7f3d8f381fe3a2b1f162" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:36.315ex; height:6.176ex;" alt="{\displaystyle {\frac {1}{3}}\pi r^{2}h={\frac {1}{3}}\pi r^{2}\left(2r\right)=\left({\frac {2}{3}}\pi r^{3}\right)\times 1,}"></span></dd></dl> <p>గోళం ఘనపరిమాణం : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {4}{3}}\pi r^{3}=\left({\frac {2}{3}}\pi r^{3}\right)\times 2,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mrow> <mo>)</mo> </mrow> <mo>×</mo> <mn>2</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {4}{3}}\pi r^{3}=\left({\frac {2}{3}}\pi r^{3}\right)\times 2,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/52f5320fbde51b39a7c2311eee25e1d917547b89" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:22.036ex; height:6.176ex;" alt="{\displaystyle {\frac {4}{3}}\pi r^{3}=\left({\frac {2}{3}}\pi r^{3}\right)\times 2,}"></span></dd></dl> <p>స్థూపం ఘనపరిమాణం: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \pi r^{2}h=\pi r^{2}(2r)=\left({\frac {2}{3}}\pi r^{3}\right)\times 3.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>h</mi> <mo>=</mo> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mn>2</mn> <mi>r</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mrow> <mo>)</mo> </mrow> <mo>×</mo> <mn>3.</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi r^{2}h=\pi r^{2}(2r)=\left({\frac {2}{3}}\pi r^{3}\right)\times 3.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9ff01393082f8dcc58d17a3008400d26547dd9c0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:31.93ex; height:6.176ex;" alt="{\displaystyle \pi r^{2}h=\pi r^{2}(2r)=\left({\frac {2}{3}}\pi r^{3}\right)\times 3.}"></span></dd></dl> <p>గోళం, స్థూపం ల ఘనపరిమాణాల నిష్పత్తి <b>2 : 3</b> అని ఆర్కిమెడిస్ అనే శాస్త్రవేత్త కనుగొన్నాడు. <sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="మూలాలు"><span id=".E0.B0.AE.E0.B1.82.E0.B0.B2.E0.B0.BE.E0.B0.B2.E0.B1.81"></span>మూలాలు</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81&action=edit&section=5" title="విభాగాన్ని మార్చు: మూలాలు"><span>మార్చు</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r4300226">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r4342780">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a{background-size:contain}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a{background-size:contain}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a{background-size:contain}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#2C882D;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911F}html.skin-theme-clientpref-night .mw-parser-output .cs1-visible-error,html.skin-theme-clientpref-night .mw-parser-output .cs1-hidden-error{color:#f8a397}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-visible-error,html.skin-theme-clientpref-os .mw-parser-output .cs1-hidden-error{color:#f8a397}html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911F}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.yourdictionary.com/volume">"Your Dictionary entry for "volume"<span class="cs1-kern-right"></span>"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">2010-05-01</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Your+Dictionary+entry+for+%22volume%22&rft_id=http%3A%2F%2Fwww.yourdictionary.com%2Fvolume&rfr_id=info%3Asid%2Fte.wikipedia.org%3A%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">One litre of sugar (about 970 grams) can dissolve in 0.6 litres of hot water, producing a total volume of less than one litre. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r4342780"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://chemed.chem.purdue.edu/genchem/topicreview/bp/ch18/soluble.php">"Solubility"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">2010-05-01</span></span>. <q>Up to 1800 grams of sucrose can dissolve in a liter of water.</q></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Solubility&rft_id=http%3A%2F%2Fchemed.chem.purdue.edu%2Fgenchem%2Ftopicreview%2Fbp%2Fch18%2Fsoluble.php&rfr_id=info%3Asid%2Fte.wikipedia.org%3A%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r4342780"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20111210164956/http://ts.nist.gov/weightsandmeasures/publications/appxc.cfm">"General Tables of Units of Measurement"</a>. NIST Weights and Measures Division. Archived from <a rel="nofollow" class="external text" href="http://ts.nist.gov/WeightsAndMeasures/Publications/appxc.cfm#4e">the original</a> on 2011-12-10<span class="reference-accessdate">. Retrieved <span class="nowrap">2011-01-12</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=General+Tables+of+Units+of+Measurement&rft.pub=NIST+Weights+and+Measures+Division&rft_id=http%3A%2F%2Fts.nist.gov%2FWeightsAndMeasures%2FPublications%2Fappxc.cfm%234e&rfr_id=info%3Asid%2Fte.wikipedia.org%3A%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r4342780"><cite id="CITEREFRorres" class="citation web cs1">Rorres, Chris. <a rel="nofollow" class="external text" href="http://www.math.nyu.edu/~crorres/Archimedes/Tomb/Cicero.html">"Tomb of Archimedes: Sources"</a>. Courant Institute of Mathematical Sciences<span class="reference-accessdate">. Retrieved <span class="nowrap">2007-01-02</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Tomb+of+Archimedes%3A+Sources&rft.pub=Courant+Institute+of+Mathematical+Sciences&rft.aulast=Rorres&rft.aufirst=Chris&rft_id=http%3A%2F%2Fwww.math.nyu.edu%2F~crorres%2FArchimedes%2FTomb%2FCicero.html&rfr_id=info%3Asid%2Fte.wikipedia.org%3A%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="బాహ్య_లంకెలు"><span id=".E0.B0.AC.E0.B0.BE.E0.B0.B9.E0.B1.8D.E0.B0.AF_.E0.B0.B2.E0.B0.82.E0.B0.95.E0.B1.86.E0.B0.B2.E0.B1.81"></span>బాహ్య లంకెలు</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81&action=edit&section=6" title="విభాగాన్ని మార్చు: బాహ్య లంకెలు"><span>మార్చు</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r4246472"><div class="side-box side-box-right plainlinks sistersitebox"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r3779865"> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist">వికీమీడియా కామన్స్‌లో <span style="font-weight: bold; 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