Calculus, 10th Edition (Anton)

by Anton, Howard

Published by Wiley

ISBN 10: 0-47064-772-8

ISBN 13: 978-0-47064-772-1

Chapter 5 - Applications Of The Definite Integral In Geometry, Science, And Engineering - 5.3 Volumes By Cylindrical Shells - Exercises Set 5.3 - Page 370: 24

Answer

See solution for details.

Work Step by Step

Radius is $x-k$, Height is $f(x)$ Thus $$ V=2 \pi \int_{a}^{b}(\text { Height })(\text { Radius }) d x=2 \pi \int_{a}^{b}(x-k) \cdot f(x) d x $$

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