Solve 490=pir^2h

$$490 = \pi r ^ { 2 } h$$

Solve for h

$$h=\frac{490}{\pi r^{2}}$$

$$r\neq 0$$

Steps for Solving Linear Equation

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

$$\pi r^{2}h=490$$

Divide both sides by \pi r^{2}.

$$\frac{\pi r^{2}h}{\pi r^{2}}=\frac{490}{\pi r^{2}}$$

Dividing by \pi r^{2} undoes the multiplication by \pi r^{2}.

$$h=\frac{490}{\pi r^{2}}$$

Solve for r

$$r=7\sqrt{\frac{10}{\pi h}}$$

$$r=-7\sqrt{\frac{10}{\pi h}}\text{, }h>0$$