College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.2 - Applications and Modeling with Linear Equations - 1.2 Exercises: 16

Answer

Height is 4 in.

Work Step by Step

The formula for the volume of a cylinder is $\pi{r}^2h$ and we know what the volume is from the problem. $\pi{r}^2h=144\pi$ We are given in the problem that the radius is 6 so we just replace r with 6 and since r is squared we write 6 squared which is 36. Now solve for h. First, divide each side by $36\pi$. $h=144\pi/36\pi$ Solve the above equation. We get the answer that the height is 4 in. $h=4$
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