Calculus 10th Edition

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: 5

Answer

$32\pi$

Work Step by Step

Setup the integration using Shell method $2\pi \int_0^4 x(\frac{1}{4}x^2)dx$ $2 \pi \int_0^4 \frac{1}{4}x^3 dx $ $2\pi (\frac{1}{16}x^4)]^4_0$, Integrate $ 2\pi ((16)-0)$ , Take definite integral $32\pi$
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