Answer
$\frac{2\pi}{15}$
Work Step by Step
$$V = \pi \int_{0}^{1}(x^2-{(x^2)}^2)dx$$
$$V = \pi\int_{0}^{1}(x^2-x^4)dx$$
$$V = \pi\int_{0}^{1}(\frac{x^3}{3}-\frac{x^5}{5}) dx $$
Solving, we get
$$ V = \frac{2\pi}{15}$$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 7 - Applications of Integration - 7.2 Exercises - Page 454: 43
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