Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 15: Multiple Integrals - Section 15.5 - Triple Integrals in Rectangular Coordinates - Exercises 15.5 - Page 902: 46

Answer

$c=3$

Work Step by Step

We have the ellipsoid: $\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$ Its volume is: $\frac{4abc\pi}{3}$ Thus: $\frac{4*1*2*c*\pi}{3}=8\pi $ Solving for $c$, we get: $c=3$
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