Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.1 Linear Equations - 1.1 Exercises - Page 93: 45


$h=\dfrac{S}{2\pi r}-r$

Work Step by Step

$S=2\pi rh+2\pi r^{2}$ $,$ for $h$ Take $2\pi r^{2}$ to subtract the left side: $S-2\pi r^{2}=2\pi rh$ Take $2\pi r$ to divide the left side: $\dfrac{S-2\pi r^{2}}{2\pi r}=h$ Rearrange: $h=\dfrac{S-2\pi r^{2}}{2\pi r}$ Simplify: $h=\dfrac{S}{2\pi r}-r$
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