Answer
$V=18$
Work Step by Step
From part a, we have $V=4x^3-26x^2+40x$
The maximum of this function is at $x=1$.
The volume will be $V=18$.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 5 Polynomials and Polynomial Functions - Standardized Test Practice - Extended Response - Page 411: 20b
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