Answer
$V$ = $\frac{4\sqrt 3}{3}$
Work Step by Step
$V$ = $\int_{-1}^{1}\sqrt {3}(1-x^{2})dx$
$V$ = $\sqrt {3}(x-\frac{1}{3}x^{3})|_{-1}^1$
$V$ = $\frac{4\sqrt 3}{3}$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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: 8
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