Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 6 - Applications of the Integral - 6.2 Setting Up Integrals: Volume, Density, Average Value - Exercises - Page 296: 9

Answer

$V$ = $\frac{8}{3}$

Work Step by Step

$V$ = $\int_{-1}^{1}2(1-x^{2})dx$ $V$ = $2(x-\frac{1}{3}x^{3})|_{-1}^1$ $V$ = $\frac{8}{3}$
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