{"id":29641,"date":"2025-06-21T08:13:47","date_gmt":"2025-06-21T08:13:47","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=29641"},"modified":"2025-06-21T08:13:49","modified_gmt":"2025-06-21T08:13:49","slug":"what-is-the-volume-in-cubic-ft-of-a-cylinder-with-a-height-of-3ft-and-a-base-radius-of-4ft-to-the-nearest-tenths-place","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-volume-in-cubic-ft-of-a-cylinder-with-a-height-of-3ft-and-a-base-radius-of-4ft-to-the-nearest-tenths-place\/","title":{"rendered":"What is the volume, in cubic ft, of a cylinder with a height of 3ft and a base radius of 4ft, to the nearest tenths place"},"content":{"rendered":"\n<p>What is the volume, in cubic ft, of a cylinder with a height of 3ft and a base radius of 4ft, to the nearest tenths place?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: 150.8 cubic feet<\/strong><\/p>\n\n\n\n<p>To find the volume of a cylinder, use the formula: V=\u03c0r2hV = \\pi r^2 h<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>VV is the volume<\/li>\n\n\n\n<li>rr is the radius of the base<\/li>\n\n\n\n<li>hh is the height<\/li>\n\n\n\n<li>\u03c0\\pi is approximately 3.1416<\/li>\n<\/ul>\n\n\n\n<p>Given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Radius r=4r = 4 feet<\/li>\n\n\n\n<li>Height h=3h = 3 feet<\/li>\n<\/ul>\n\n\n\n<p>Step 1: Square the radius r2=42=16r^2 = 4^2 = 16<\/p>\n\n\n\n<p>Step 2: Multiply by the height 16\u00d73=4816 \\times 3 = 48<\/p>\n\n\n\n<p>Step 3: Multiply by \u03c0\\pi 48\u00d73.1416=150.796848 \\times 3.1416 = 150.7968<\/p>\n\n\n\n<p>Step 4: Round to the nearest tenth 150.7968\u2248150.8150.7968 \\approx 150.8<\/p>\n\n\n\n<p>So, the volume is <strong>150.8 cubic feet<\/strong>.<\/p>\n\n\n\n<p>This result represents the amount of three-dimensional space inside the cylinder. The base of the cylinder is a circle, and the formula for the area of a circle is \u03c0r2\\pi r^2. That area is multiplied by the height to get the volume of the entire cylinder.<\/p>\n\n\n\n<p>The reason for using \u03c0\\pi is that circular shapes are involved, and \u03c0\\pi defines the relationship between a circle&#8217;s diameter and its circumference. By including \u03c0\\pi in the volume formula, the calculation accounts for the circular shape of the base.<\/p>\n\n\n\n<p>This formula is derived from basic principles of geometry. A cylinder can be thought of as a stack of identical circular disks placed one on top of the other. The area of each disk is \u03c0r2\\pi r^2, and stacking them to a height of hh gives the volume.<\/p>\n\n\n\n<p>This kind of calculation is useful in real-world applications like measuring storage tanks, pipes, and barrels. Using accurate values and correct rounding ensures reliable results in construction, manufacturing, and engineering.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the volume, in cubic ft, of a cylinder with a height of 3ft and a base radius of 4ft, to the nearest tenths place? The correct answer and explanation is: Correct Answer: 150.8 cubic feet To find the volume of a cylinder, use the formula: V=\u03c0r2hV = \\pi r^2 h Where: Given: Step [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-29641","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29641","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=29641"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29641\/revisions"}],"predecessor-version":[{"id":29642,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/29641\/revisions\/29642"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=29641"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=29641"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=29641"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}