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: 21

Answer

$\frac{16\pi}{3}$

Work Step by Step

Setup the integration using shell method about the x-axis $ 2\pi \int _0^2 (y(4-y-y))dy$ $ 2\pi \int_0^2(4y-2y^2)dy$ $ 4\pi \int_0^2 (2y-y^2)dy$ $ 4\pi[y^2 - \frac{1}{3} y^3]_0^2$ $4\pi (4-\frac{8}{3})$ $\frac{16\pi}{3}$
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.