## Intermediate Algebra (6th Edition)

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