Answer
$V(r)=4\pi r^3$, $r>0$
Work Step by Step
We know that the volume of a cylinder is:
$V=\pi r^2h$
We are told that the height is four times the radius ($h=4r$). So:
$V=\pi r^2h=\pi r^2*4r=4\pi r^3$
(with $r>0$).
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 2, Functions - Focus on Modeling - Modeling with Functions - Problems - Page 276: 4
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