Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 6 - Section 6.3 - Volumes by Cylindrical Shells - 6.3 Exercises - Page 454: 11

Answer

$\displaystyle{V=192\pi}\\$

Work Step by Step

$\displaystyle{V=\int_{0}^{8}(2\pi y)\left(y^{\frac{2}{3}}\right)\ dy}\\ \displaystyle{V=2\pi\int_{0}^{8}y^{\frac{5}{3}}\ dy}\\ \displaystyle{V=2\pi\left[\frac{3}{8}y^{\frac{8}{3}}\right]_{0}^{8}}\\ \displaystyle{V=2\pi\left(\left(\frac{3}{8}(8)^{\frac{8}{3}}\right)-(0)\right)}\\ \displaystyle{V=192\pi}\\$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.