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: 16

Answer

$V\approx118\text{m}^3$

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 (The diameter in the figure is 5m. Since the radius is half the diameter, the radius is 2.5 m): $$V=\pi(2.5)^2(6)$$We simplify the exponent: $$V=(6.25)(6)\pi$$We multiply: $$V\approx118\text{m}^3$$
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