Solve 36pi=1/3pir^2h

$$36 \pi = \frac { 1 } { 3 } \pi r ^ { 2 } h$$

Solve for h

$$h=\frac{108}{r^{2}}$$

$$r\neq 0$$

Steps for Solving Linear Equation

Cancel out \pi on both sides.

$$36=\frac{1}{3}r^{2}h$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{3}r^{2}h=36$$

The equation is in standard form.

$$\frac{r^{2}}{3}h=36$$

Divide both sides by \frac{1}{3}r^{2}.

$$\frac{3\times \frac{r^{2}}{3}h}{r^{2}}=\frac{3\times 36}{r^{2}}$$

Dividing by \frac{1}{3}r^{2} undoes the multiplication by \frac{1}{3}r^{2}.

$$h=\frac{3\times 36}{r^{2}}$$

Divide 36 by \frac{1}{3}r^{2}.

$$h=\frac{108}{r^{2}}$$

Solve for r

$$r=6\sqrt{\frac{3}{h}}$$

$$r=-6\sqrt{\frac{3}{h}}\text{, }h>0$$