{"id":90239,"date":"2025-06-01T10:23:42","date_gmt":"2025-06-01T10:23:42","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=90239"},"modified":"2025-06-01T10:23:42","modified_gmt":"2025-06-01T10:23:42","slug":"if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can\/","title":{"rendered":"If a cubical container of length, breadth and height each of 10 cm can"},"content":{"rendered":"

If a cubical container of length, breadth and height each of 10 cm can contain exactly 1 litre of water, then a spherical container of radius 10.5 cm can contain<\/p>\n

[amp_mcq option1=”not more than 4 litres of water” option2=”more than 4 litres but less than 4.5 litres of water” option3=”more than 4.5 litres but less than 5 litres of water” option4=”more than 5 litres of water” correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CAPF – 2018<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct answer is C) more than 4.5 litres but less than 5 litres of water.
\n<\/section>\n
\nA cubical container of 10 cm side length has a volume of 10 cm * 10 cm * 10 cm = 1000 cm\u00b3.
\nGiven that this container holds exactly 1 litre, we know 1 litre = 1000 cm\u00b3.
\nA spherical container has a radius of 10.5 cm.
\nThe volume of a sphere is given by the formula V = (4\/3)\u03c0r\u00b3.
\nUsing \u03c0 \u2248 22\/7:
\nV = (4\/3) * (22\/7) * (10.5)\u00b3
\nV = (4\/3) * (22\/7) * (10.5 * 10.5 * 10.5)
\nV = (4\/3) * (22\/7) * (1157.625)
\nV = (88\/21) * 1157.625
\nV = 4.1904… * 1157.625
\nV \u2248 4851 cm\u00b3
\nTo convert this volume to litres, divide by 1000:
\nVolume in litres = 4851 cm\u00b3 \/ 1000 cm\u00b3\/litre = 4.851 litres.
\nNow compare 4.851 litres with the options:
\nA) not more than 4 litres (4.851 is more than 4) – Incorrect
\nB) more than 4 litres but less than 4.5 litres (4.851 is not less than 4.5) – Incorrect
\nC) more than 4.5 litres but less than 5 litres (4.5 < 4.851 < 5) - Correct\nD) more than 5 litres (4.851 is not more than 5) - Incorrect\n<\/section>\n
\nThe value of \u03c0 used can affect the precision slightly. Using a more precise value like 3.14159 would give V = (4\/3) * 3.14159 * (10.5)\u00b3 \u2248 4849.05 cm\u00b3, which is 4.84905 litres. This value also falls within the range of more than 4.5 litres but less than 5 litres.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

If a cubical container of length, breadth and height each of 10 cm can contain exactly 1 litre of water, then a spherical container of radius 10.5 cm can contain [amp_mcq option1=”not more than 4 litres of water” option2=”more than 4 litres but less than 4.5 litres of water” option3=”more than 4.5 litres but less … <\/p>\n

Detailed SolutionIf a cubical container of length, breadth and height each of 10 cm can<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1085],"tags":[1114,1102],"class_list":["post-90239","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1114","tag-quantitative-aptitude-and-reasoning","no-featured-image-padding"],"yoast_head":"\nIf a cubical container of length, breadth and height each of 10 cm can<\/title>\n<meta name=\"description\" content=\"The correct answer is C) more than 4.5 litres but less than 5 litres of water. A cubical container of 10 cm side length has a volume of 10 cm * 10 cm * 10 cm = 1000 cm\u00b3. Given that this container holds exactly 1 litre, we know 1 litre = 1000 cm\u00b3. A spherical container has a radius of 10.5 cm. The volume of a sphere is given by the formula V = (4\/3)\u03c0r\u00b3. Using \u03c0 \u2248 22\/7: V = (4\/3) * (22\/7) * (10.5)\u00b3 V = (4\/3) * (22\/7) * (10.5 * 10.5 * 10.5) V = (4\/3) * (22\/7) * (1157.625) V = (88\/21) * 1157.625 V = 4.1904... * 1157.625 V \u2248 4851 cm\u00b3 To convert this volume to litres, divide by 1000: Volume in litres = 4851 cm\u00b3 \/ 1000 cm\u00b3\/litre = 4.851 litres. Now compare 4.851 litres with the options: A) not more than 4 litres (4.851 is more than 4) - Incorrect B) more than 4 litres but less than 4.5 litres (4.851 is not less than 4.5) - Incorrect C) more than 4.5 litres but less than 5 litres (4.5 < 4.851 < 5) - Correct D) more than 5 litres (4.851 is not more than 5) - Incorrect\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If a cubical container of length, breadth and height each of 10 cm can\" \/>\n<meta property=\"og:description\" content=\"The correct answer is C) more than 4.5 litres but less than 5 litres of water. A cubical container of 10 cm side length has a volume of 10 cm * 10 cm * 10 cm = 1000 cm\u00b3. Given that this container holds exactly 1 litre, we know 1 litre = 1000 cm\u00b3. A spherical container has a radius of 10.5 cm. The volume of a sphere is given by the formula V = (4\/3)\u03c0r\u00b3. Using \u03c0 \u2248 22\/7: V = (4\/3) * (22\/7) * (10.5)\u00b3 V = (4\/3) * (22\/7) * (10.5 * 10.5 * 10.5) V = (4\/3) * (22\/7) * (1157.625) V = (88\/21) * 1157.625 V = 4.1904... * 1157.625 V \u2248 4851 cm\u00b3 To convert this volume to litres, divide by 1000: Volume in litres = 4851 cm\u00b3 \/ 1000 cm\u00b3\/litre = 4.851 litres. Now compare 4.851 litres with the options: A) not more than 4 litres (4.851 is more than 4) - Incorrect B) more than 4 litres but less than 4.5 litres (4.851 is not less than 4.5) - Incorrect C) more than 4.5 litres but less than 5 litres (4.5 < 4.851 < 5) - Correct D) more than 5 litres (4.851 is not more than 5) - Incorrect\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:23:42+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"If a cubical container of length, breadth and height each of 10 cm can","description":"The correct answer is C) more than 4.5 litres but less than 5 litres of water. A cubical container of 10 cm side length has a volume of 10 cm * 10 cm * 10 cm = 1000 cm\u00b3. Given that this container holds exactly 1 litre, we know 1 litre = 1000 cm\u00b3. A spherical container has a radius of 10.5 cm. The volume of a sphere is given by the formula V = (4\/3)\u03c0r\u00b3. Using \u03c0 \u2248 22\/7: V = (4\/3) * (22\/7) * (10.5)\u00b3 V = (4\/3) * (22\/7) * (10.5 * 10.5 * 10.5) V = (4\/3) * (22\/7) * (1157.625) V = (88\/21) * 1157.625 V = 4.1904... * 1157.625 V \u2248 4851 cm\u00b3 To convert this volume to litres, divide by 1000: Volume in litres = 4851 cm\u00b3 \/ 1000 cm\u00b3\/litre = 4.851 litres. Now compare 4.851 litres with the options: A) not more than 4 litres (4.851 is more than 4) - Incorrect B) more than 4 litres but less than 4.5 litres (4.851 is not less than 4.5) - Incorrect C) more than 4.5 litres but less than 5 litres (4.5 < 4.851 < 5) - Correct D) more than 5 litres (4.851 is not more than 5) - Incorrect","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can\/","og_locale":"en_US","og_type":"article","og_title":"If a cubical container of length, breadth and height each of 10 cm can","og_description":"The correct answer is C) more than 4.5 litres but less than 5 litres of water. A cubical container of 10 cm side length has a volume of 10 cm * 10 cm * 10 cm = 1000 cm\u00b3. Given that this container holds exactly 1 litre, we know 1 litre = 1000 cm\u00b3. A spherical container has a radius of 10.5 cm. The volume of a sphere is given by the formula V = (4\/3)\u03c0r\u00b3. Using \u03c0 \u2248 22\/7: V = (4\/3) * (22\/7) * (10.5)\u00b3 V = (4\/3) * (22\/7) * (10.5 * 10.5 * 10.5) V = (4\/3) * (22\/7) * (1157.625) V = (88\/21) * 1157.625 V = 4.1904... * 1157.625 V \u2248 4851 cm\u00b3 To convert this volume to litres, divide by 1000: Volume in litres = 4851 cm\u00b3 \/ 1000 cm\u00b3\/litre = 4.851 litres. Now compare 4.851 litres with the options: A) not more than 4 litres (4.851 is more than 4) - Incorrect B) more than 4 litres but less than 4.5 litres (4.851 is not less than 4.5) - Incorrect C) more than 4.5 litres but less than 5 litres (4.5 < 4.851 < 5) - Correct D) more than 5 litres (4.851 is not more than 5) - Incorrect","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:23:42+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can\/","name":"If a cubical container of length, breadth and height each of 10 cm can","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:23:42+00:00","dateModified":"2025-06-01T10:23:42+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct answer is C) more than 4.5 litres but less than 5 litres of water. A cubical container of 10 cm side length has a volume of 10 cm * 10 cm * 10 cm = 1000 cm\u00b3. Given that this container holds exactly 1 litre, we know 1 litre = 1000 cm\u00b3. A spherical container has a radius of 10.5 cm. The volume of a sphere is given by the formula V = (4\/3)\u03c0r\u00b3. Using \u03c0 \u2248 22\/7: V = (4\/3) * (22\/7) * (10.5)\u00b3 V = (4\/3) * (22\/7) * (10.5 * 10.5 * 10.5) V = (4\/3) * (22\/7) * (1157.625) V = (88\/21) * 1157.625 V = 4.1904... * 1157.625 V \u2248 4851 cm\u00b3 To convert this volume to litres, divide by 1000: Volume in litres = 4851 cm\u00b3 \/ 1000 cm\u00b3\/litre = 4.851 litres. Now compare 4.851 litres with the options: A) not more than 4 litres (4.851 is more than 4) - Incorrect B) more than 4 litres but less than 4.5 litres (4.851 is not less than 4.5) - Incorrect C) more than 4.5 litres but less than 5 litres (4.5 < 4.851 < 5) - Correct D) more than 5 litres (4.851 is not more than 5) - Incorrect","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-a-cubical-container-of-length-breadth-and-height-each-of-10-cm-can\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"If a cubical container of length, breadth and height each of 10 cm can"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90239","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=90239"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/90239\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=90239"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=90239"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=90239"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}