College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Focus on Modeling - Modeling with Functions - Problems: 4

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 $r>0$).
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