{"id":232357,"date":"2025-06-11T23:31:51","date_gmt":"2025-06-11T23:31:51","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232357"},"modified":"2025-06-11T23:31:53","modified_gmt":"2025-06-11T23:31:53","slug":"find-the-volume-in-gallons-of-cylinder-that-has-radius-of-18-feet-and-depth-of-20-feet","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/11\/find-the-volume-in-gallons-of-cylinder-that-has-radius-of-18-feet-and-depth-of-20-feet\/","title":{"rendered":"Find the volume in gallons of cylinder that has radius of 18 feet and depth of 20 feet"},"content":{"rendered":"\n<ol start=\"34\" class=\"wp-block-list\">\n<li>Find the volume in gallons of cylinder that has radius of 18 feet and depth of 20 feet; Round the answer t0 the hundreds place- 1. 38,000 gal 2. 5,100 gal 3_ 152,200 gal 4. 20,300 gal<\/li>\n<\/ol>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the volume of a cylinder, we use the formula: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<\/li>\n\n\n\n<li>rrr is the radius<\/li>\n\n\n\n<li>hhh is the height (or depth in this case)<\/li>\n\n\n\n<li>\u03c0\u22483.1416\\pi \\approx 3.1416\u03c0\u22483.1416<\/li>\n<\/ul>\n\n\n\n<p>Given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Radius r=18r = 18r=18 feet<\/li>\n\n\n\n<li>Depth h=20h = 20h=20 feet<\/li>\n<\/ul>\n\n\n\n<p>V=\u03c0(18)2(20)=3.1416\u00d7324\u00d720=3.1416\u00d76480\u224820357.57&nbsp;cubic&nbsp;feetV = \\pi (18)^2 (20) = 3.1416 \\times 324 \\times 20 = 3.1416 \\times 6480 \\approx 20357.57 \\text{ cubic feet}V=\u03c0(18)2(20)=3.1416\u00d7324\u00d720=3.1416\u00d76480\u224820357.57&nbsp;cubic&nbsp;feet<\/p>\n\n\n\n<p>Next, convert cubic feet to gallons.<br><strong>1 cubic foot = 7.4805 gallons<\/strong>20357.57\u00d77.4805\u2248152224.38&nbsp;gallons20357.57 \\times 7.4805 \\approx 152224.38 \\text{ gallons}20357.57\u00d77.4805\u2248152224.38&nbsp;gallons<\/p>\n\n\n\n<p>Rounded to the <strong>hundreds place<\/strong>, the volume is:152,200&nbsp;gallons\\boxed{152,200 \\text{ gallons}}152,200&nbsp;gallons\u200b<\/p>\n\n\n\n<p><strong>Correct answer: 3. 152,200 gal<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>To calculate the volume of a cylinder, we use the geometric volume formula: V=\u03c0r2hV = \\pi r^2 hV=\u03c0r2h, where rrr is the radius of the base and hhh is the height or depth. This formula is derived from the idea that the volume of a cylinder is the area of the base (a circle) multiplied by the height.<\/p>\n\n\n\n<p>In this case, the cylinder has a radius of 18 feet and a depth of 20 feet. First, square the radius:<br>182=32418^2 = 324182=324.<br>Then multiply by the depth:<br>324\u00d720=6480324 \\times 20 = 6480324\u00d720=6480.<br>Now multiply by \u03c0\u22483.1416\\pi \\approx 3.1416\u03c0\u22483.1416:<br>6480\u00d73.1416\u224820357.576480 \\times 3.1416 \\approx 20357.576480\u00d73.1416\u224820357.57 cubic feet.<\/p>\n\n\n\n<p>The next step is to convert cubic feet to gallons since the final answer must be in gallons. The conversion factor is:<br><strong>1 cubic foot = 7.4805 gallons<\/strong>.<\/p>\n\n\n\n<p>So,<br>20357.57\u00d77.4805\u2248152224.3820357.57 \\times 7.4805 \\approx 152224.3820357.57\u00d77.4805\u2248152224.38 gallons.<\/p>\n\n\n\n<p>Finally, we round this number to the <strong>nearest hundred<\/strong>. The digit in the tens place is 2 (less than 5), so we round down:<br>152,200\\boxed{152,200}152,200\u200b gallons.<\/p>\n\n\n\n<p>Thus, the volume of a cylinder with radius 18 feet and depth 20 feet is approximately <strong>152,200 gallons<\/strong>, making option <strong>3<\/strong> the correct choice.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner9-266.jpeg\" alt=\"\" class=\"wp-image-232358\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: To find the volume of a cylinder, we use the formula:V=\u03c0r2hV = \\pi r^2 hV=\u03c0r2h Where: Given: V=\u03c0(18)2(20)=3.1416\u00d7324\u00d720=3.1416\u00d76480\u224820357.57&nbsp;cubic&nbsp;feetV = \\pi (18)^2 (20) = 3.1416 \\times 324 \\times 20 = 3.1416 \\times 6480 \\approx 20357.57 \\text{ cubic feet}V=\u03c0(18)2(20)=3.1416\u00d7324\u00d720=3.1416\u00d76480\u224820357.57&nbsp;cubic&nbsp;feet Next, convert cubic feet to gallons.1 cubic foot = 7.4805 gallons20357.57\u00d77.4805\u2248152224.38&nbsp;gallons20357.57 \\times [&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 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