Answer
$V(r)=2\pi r^3$
Work Step by Step
We know that the height is twice the radius, so $h=2r$
We know that the volume is given by:
$V=\pi r^2 h$
Therefore, the composite function will be:
$V(r)=\pi r^2 h=\pi (r^2) (2r)=2\pi r^3$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.1 Composite Functions - 4.1 Assess Your Understanding - Page 281: 73
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