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 921: 54

Answer

$\pi $

Work Step by Step

$ V=4\int^{\pi/2}_0 \int^{1}_0 \int^{r^2+1}_{r^2}$ dz r dr $ d\theta $ =$4\int^{\pi/2}_0 \int^1_0 r $ dr $ d\theta $ =$2\int^{\pi/2}_0 d\theta $ =$\pi $
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