Answer
$\frac{256\pi}{5} $
Work Step by Step
If y=0, then x=0, x=4, so that a=0, b=4. The volume is
$V=\int^{4}_{0}\pi(\frac{x^{2}}{2})^{2}dx =\frac{\pi}{4}\frac{x^{5}}{5}|^{4}_{0} =\frac{256\pi}{5} $
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 8 - Further Techniques and Applications of Integration - 8.2 Volume and Average Value - 8.2 Exercises - Page 439: 16
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