{"id":244742,"date":"2025-07-05T10:16:14","date_gmt":"2025-07-05T10:16:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=244742"},"modified":"2025-07-05T10:16:15","modified_gmt":"2025-07-05T10:16:15","slug":"a-can-of-soda-can-be-modeled-as-a-right-cylinder","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/05\/a-can-of-soda-can-be-modeled-as-a-right-cylinder\/","title":{"rendered":"A can of soda can be modeled as a right cylinder"},"content":{"rendered":"\n<p>A can of soda can be modeled as a right cylinder. Mia measures its height as 9.3 cm and its circumference as 14.1 cm. Find the volume of the can in cubic centimeters. Round your answer to the nearest tenth if necessary.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0);color:#0693e3\" class=\"has-inline-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the volume of the soda can modeled as a right cylinder, we can use the formula for the volume of a cylinder: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>VVV is the volume of the cylinder,<\/li>\n\n\n\n<li>rrr is the radius of the base,<\/li>\n\n\n\n<li>hhh is the height of the cylinder,<\/li>\n\n\n\n<li>\u03c0\u22483.1416\\pi \\approx 3.1416\u03c0\u22483.1416.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the radius of the base<\/h3>\n\n\n\n<p>We are given the circumference of the can, which is 14.1 cm. The formula for the circumference of a circle is:C=2\u03c0rC = 2\\pi rC=2\u03c0r<\/p>\n\n\n\n<p>Rearranging to solve for rrr:r=C2\u03c0r = \\frac{C}{2\\pi}r=2\u03c0C\u200b<\/p>\n\n\n\n<p>Substitute the given circumference:r=14.12\u03c0=14.16.2832\u22482.24\u2009cmr = \\frac{14.1}{2\\pi} = \\frac{14.1}{6.2832} \\approx 2.24 \\, \\text{cm}r=2\u03c014.1\u200b=6.283214.1\u200b\u22482.24cm<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the volume<\/h3>\n\n\n\n<p>Now that we have the radius (r\u22482.24\u2009cmr \\approx 2.24 \\, \\text{cm}r\u22482.24cm) and the height (h=9.3\u2009cmh = 9.3 \\, \\text{cm}h=9.3cm), we can plug these values into the volume formula:V=\u03c0(2.24)2(9.3)V = \\pi (2.24)^2 (9.3)V=\u03c0(2.24)2(9.3)V=3.1416\u00d75.0176\u00d79.3\u22483.1416\u00d746.69\u2248146.45\u2009cubic&nbsp;centimetersV = 3.1416 \\times 5.0176 \\times 9.3 \\approx 3.1416 \\times 46.69 \\approx 146.45 \\, \\text{cubic centimeters}V=3.1416\u00d75.0176\u00d79.3\u22483.1416\u00d746.69\u2248146.45cubic&nbsp;centimeters<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Round the answer<\/h3>\n\n\n\n<p>To the nearest tenth, the volume is approximately:V\u2248146.5\u2009cubic&nbsp;centimetersV \\approx 146.5 \\, \\text{cubic centimeters}V\u2248146.5cubic&nbsp;centimeters<\/p>\n\n\n\n<p>Thus, the volume of the can is <strong>146.5 cubic centimeters<\/strong>.<\/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-banner5-506.jpeg\" alt=\"\" class=\"wp-image-244743\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A can of soda can be modeled as a right cylinder. Mia measures its height as 9.3 cm and its circumference as 14.1 cm. Find the volume of the can in cubic centimeters. Round your answer to the nearest tenth if necessary. The Correct Answer and Explanation is: To find the volume of the soda [&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-244742","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244742","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=244742"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244742\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244742"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244742"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244742"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}