Solve pir^2h-pi^2h/3

$$\pi r ^ { 2 } h - \frac { \pi ^ { 2 } h } { 3 }$$

Factor

$$\frac{\pi h\left(3r^{2}-\pi \right)}{3}$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{3\pi r^{2}h-\pi ^{2}h}{3}$$

Consider 3\pi r^{2}h-\pi ^{2}h. Factor out \pi h.

$$\pi h\left(3r^{2}-\pi \right)$$

Rewrite the complete factored expression. Polynomial 3r^{2}-\pi is not factored since it does not have any rational roots.

$$\frac{\pi h\left(3r^{2}-\pi \right)}{3}$$

Evaluate

$$\pi hr^{2}-\frac{\pi ^{2}h}{3}$$