Answer
$V=\frac{4\pi}{3}r^3$
Work Step by Step
Step 1. Write the general form as $V=kr^3$ where $k$ is a constant.
Step 2. Use the given condition, $k=\frac{4\pi}{3}$
Step 3. We have $V=\frac{4\pi}{3}r^3$
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