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 - Page 462: 20

Answer

$\frac{64\pi}{5}$

Work Step by Step

Setup the integration using shell method about the x-axis $2\pi \int_0^4 y(\frac{1}{2}\sqrt y)dy$ $\pi \int_0^4 y^{\frac{3}{2}} dy$ , Integrate $ \pi[\frac{2}{5} y^{\frac{5}{2}} ]_0^4$, Evaluate the definite integral $ \frac{64\pi}{5}$
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