Answer
$\frac{16\pi}{3}$
Work Step by Step
Setup the integration using Shell method.
$2\pi \int_0^2 x(x)dx$
$2\pi \int_0^2 x^2dx$, Integrate
$2\pi (\frac{x^3}{3})]^2_0$, Take the definite integral
$ 2\pi((\frac{8}{3}) - 0)$
$\frac{16\pi}{3}$
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 - 7.3 Exercises - Page 462: 1
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