Question

Solve the formula for the indicated variable. Formula for the volume of a cylinder, V = πr^2h, for h

Solid Geometry
Solve the formula for the indicated variable.
Formula for the volume of a cylinder, $$\displaystyle{V}=π{r}^{{2}}{h}$$, for h

2021-06-16

We are given: $$\displaystyle{V}=π{r}^{{2}}{h}$$
Divide both sides by $$\displaystyleπ{r}{2}$$
$$\frac{V}{\pi r^2}=\frac{\pi r^{2}h}{\pi r^2}$$

$$\frac{V}{\pi r^2}=h$$

$$h=\frac{V}{\pi r^2}$$