Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 8 - Geometry - 8.7 Volume - 8.7 Exercises - Page 586: 20


$\approx 55.6 ft^3$

Work Step by Step

We know that the volume of a cylinder (radius $r$, height $h$) is given by: $\displaystyle V=\pi r^2 h$ We have a diameter of 4.5 feet. Thus the radius is: $\displaystyle radius=\frac{diameter}{2}=4.5/2=2.25~feet$ We plug in our values ($h=3.5~ft$, $r=2.25~ft$) to find the volume: $V=\pi 2.25^2 3.5\approx 55.6 ft^3$
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