## Intermediate Algebra for College Students (7th Edition)

$V=\dfrac{\pi{r^2h}}{3}$
Square both sides to obtain: $r^2=\dfrac{3V}{\pi{h}}$ Multiply $\pi{h}$ on both sides to obtain: $\require{cancel} \pi{h} \cdot r^2 = \dfrac{3V}{\pi{h}} \cdot \pi{h} \\\pi{r^2h} = \dfrac{3V}{\cancel{\pi{h}}} \cdot \cancel{\pi{h}} \\\pi{r^2h} = 3V$ Divide 3 on both sides to obtain: $\dfrac{\pi{r^2h}}{3} = V$