Answer
$V=\frac{4\pi}{3}x^3$
Work Step by Step
Step 1. Write the general form as $V=kx^3$ where $k$ is a constant.
Step 2. Use the given condition, $36\pi=27k$, thus $k=\frac{4\pi}{3}$
Step 3. We have $V=\frac{4\pi}{3}x^3$
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 1 - Functions and Their Graphs - Section 1.7 Building Mathematical Models Using Variation - 1.7 Assess Your Understanding - Page 109: 6
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