Answer
$\frac{2\pi}{3}$
Work Step by Step
Setup the integration using disk method about the x-axis
$\pi \int_1^3(\frac{1}{x})^2dx$
$\pi \int_1^3 (\frac{1}{x^2})dx$
$\pi[-\frac{1}{x}]_1^3$
$\pi(-\frac{1}{3}+1)$
$\frac{2\pi}{3}$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 7 - Applications of Integration - 7.2 Exercises - Page 454: 25
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