Answer
$h=\frac{S-2\pi r^{2}}{2\pi r}$
Work Step by Step
We are given that $S=2\pi r^{2}+2\pi rh$. We can first subtract $2\pi r^{2}$ from both sides.
$S-2\pi r^{2}=2\pi rh$
Divide both sides by $2\pi r$.
$h=\frac{S-2\pi r^{2}}{2\pi r}$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 2 - Section 2.3 - Formulas and Problem Solving - Exercise Set - Page 73: 16
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