Answer
$V$ = $\frac{1}{3}l^{4}$
Work Step by Step
$V$ = $\int_0^l(lx^{2})dx$ = $(\frac{1}{3}lx^{3})|_0^l$ = $\frac{1}{3}l^{4}$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 6 - Applications of the Integral - 6.2 Setting Up Integrals: Volume, Density, Average Value - Exercises - Page 296: 12
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