Answer
$\frac{32\pi}{81}t^9$
Work Step by Step
By the text of the exercise $V(r)=V(r(t))=V(t)=\frac{4}{3}\pi r^3=\frac{4}{3}\pi r^3(t)=\frac{4}{3}\pi (\frac{2}{3}t^3)^3=\frac{4}{3}\pi \frac{8}{27}t^9=\frac{32\pi}{81}t^9$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 6 - Section 6.1 - Composite Functions - 6.1 Assess Your Understanding - Page 409: 60
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