# Chapter 2 - Section 2.3 - Formulas and Problem Solving - Exercise Set: 16

$h=\frac{S-2\pi r^{2}}{2\pi r}$

#### 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 $2\pi r$. $h=\frac{S-2\pi r^{2}}{2\pi r}$

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