Answer
$\pi\frac{32}{81}t^9.$
Work Step by Step
$V(r)=\frac{4}{3}\pi r^3$ and $r(t)=\frac{2}{3}t^3$.
Therefore $V(r(t))=\frac{4}{3}\pi \left(\frac{2}{3}t^3\right)^3=\pi\frac{32}{81}t^9.$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.1 Composite Functions - 5.1 Assess Your Understanding - Page 255: 60
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