{"id":269925,"date":"2025-07-24T21:49:38","date_gmt":"2025-07-24T21:49:38","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=269925"},"modified":"2025-07-24T21:49:40","modified_gmt":"2025-07-24T21:49:40","slug":"tenth-of-a-cubic-centimeter","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/24\/tenth-of-a-cubic-centimeter\/","title":{"rendered":"Tenth of a cubic centimeter"},"content":{"rendered":"\n<p>Tenth of a cubic centimeter? 168.4 cubic centimeters 673.8 cubic centimeters 1816.8 cubic centimeters 49.9 cubic centimeters&#8217;<br>&#8216;A soup can has a radius of 4.3 cm and height of 11.6 cm What is the volume of the soup can to the nearest tenth of a cubic centimeter? 168.4 cubic centimeters 673.8 cubic centimeters 1816.8 cubic centimeters 49.9 cubic centimeters&#8217;<\/p>\n\n\n\n<p><em><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/em><\/p>\n\n\n\n<p>To calculate the volume of a soup can, we can model it as a cylinder. The formula for the volume of a cylinder is:V=\u03c0r2hV = \\pi r^2 hV=\u03c0r2h<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>rrr is the radius of the base of the cylinder<\/li>\n\n\n\n<li>hhh is the height of the cylinder<\/li>\n\n\n\n<li>\u03c0\\pi\u03c0 is approximately 3.1416<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Calculation:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the given values:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Radius, r=4.3\u2009cmr = 4.3 \\, \\text{cm}r=4.3cm<\/li>\n\n\n\n<li>Height, h=11.6\u2009cmh = 11.6 \\, \\text{cm}h=11.6cm<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Substitute the values into the formula:<\/strong><\/li>\n<\/ol>\n\n\n\n<p>V=\u03c0(4.3)2(11.6)V = \\pi (4.3)^2 (11.6)V=\u03c0(4.3)2(11.6)<\/p>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\">\n<li><strong>Square the radius:<\/strong><\/li>\n<\/ol>\n\n\n\n<p>(4.3)2=18.49(4.3)^2 = 18.49(4.3)2=18.49<\/p>\n\n\n\n<ol start=\"4\" class=\"wp-block-list\">\n<li><strong>Multiply the squared radius by the height:<\/strong><\/li>\n<\/ol>\n\n\n\n<p>18.49\u00d711.6=214.48418.49 \\times 11.6 = 214.48418.49\u00d711.6=214.484<\/p>\n\n\n\n<ol start=\"5\" class=\"wp-block-list\">\n<li><strong>Multiply the result by \u03c0\\pi\u03c0:<\/strong><\/li>\n<\/ol>\n\n\n\n<p>V=3.1416\u00d7214.484\u2248673.774V = 3.1416 \\times 214.484 \\approx 673.774V=3.1416\u00d7214.484\u2248673.774<\/p>\n\n\n\n<ol start=\"6\" class=\"wp-block-list\">\n<li><strong>Round the result to the nearest tenth:<\/strong><\/li>\n<\/ol>\n\n\n\n<p>V\u2248673.8\u2009cubic&nbsp;centimetersV \\approx 673.8 \\, \\text{cubic centimeters}V\u2248673.8cubic&nbsp;centimeters<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The volume of the soup can is approximately <strong>673.8 cubic centimeters<\/strong>. Therefore, the correct answer is:<\/p>\n\n\n\n<p><strong>673.8 cubic centimeters<\/strong>.<\/p>\n\n\n\n<p>This formula and calculation provide the exact volume for a cylinder, which represents the shape of the soup can. The volume tells us how much space is occupied inside the can.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1902.jpeg\" alt=\"\" class=\"wp-image-269926\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Tenth of a cubic centimeter? 168.4 cubic centimeters 673.8 cubic centimeters 1816.8 cubic centimeters 49.9 cubic centimeters&#8217;&#8216;A soup can has a radius of 4.3 cm and height of 11.6 cm What is the volume of the soup can to the nearest tenth of a cubic centimeter? 168.4 cubic centimeters 673.8 cubic centimeters 1816.8 cubic centimeters [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-269925","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269925","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=269925"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269925\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=269925"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=269925"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=269925"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}