Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 11 - Surface Area and Volume - 11-4 Volumes of Prisms and Cylinders - Practice and Problem-Solving Exercises - Page 721: 14

Answer

$V\approx905\text{in}^3$

Work Step by Step

To find the volume of a cylinder, we simply use the formula $V=\pi r^2h$, where $r$ is the radius of the cylinder and $h$ is the height. We plug in the values for radius and height, as seen in the figure: $$V=\pi(6)^2(8)$$We simplify the exponent: $$V=(36)(8)\pi$$We multiply: $$V\approx905\text{in}^3$$
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