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 15.7 - Triple Integrals in Cylindrical and Spherical Coordinates - Exercises 15.7 - Page 918: 7

Answer

$\frac{3\pi}{10}$

Work Step by Step

$\int^{2\pi}_0 \int^3_0 \int^{z/3}_0 r dr dz d\theta$ =$\int^{2\pi}_0 \int^3_0 \frac{z^4}{324}dz d\theta $ =$\int^{2\pi}_0 \frac{4}{20}d\theta $ =$\frac{3\pi}{10}$
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