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 - 7.2 Exercises - Page 453: 4

Answer

$18\pi$

Work Step by Step

Setup the integration using disk method about the x-axis $\pi \int_0^3 (\sqrt {9-x^2)}dx$ $\pi \int _0^3 (9-x^2)dx$, Integrate $\pi [9x-\frac{1}{3}x^3]_0^3$, Evaluate the definite integral $\pi(27-9)$, Simplify $18\pi$
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