Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 9 - Section 9.4 - Variation and Problem Solving - Exercise Set: 67


Volume is doubled.

Work Step by Step

Let $V$ be the volume of a cylinder. Let $h$ be the height of a cylinder. Let $r$ be the radius of a cylinder. $V=khr^2$ When height is halved and radius is doubled, $k\frac{h}{2}(2r)^2=2khr^2$ Since $khr^2=V$, $2khr^2=2V$ Volume is doubled.
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