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 - Lesson Check: 2

Answer

$V\approx339\text{in}^3$

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: $$V=\pi(3)^2(12)$$We simplify the exponent: $$V=(9)(12)\pi \\V\approx339\text{in}^3$$
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