Solve in Terms of the Arbitrary Variable r v=pir^2h

$v = π r^{2} h$

Step 1

Solve the equation for $π$ .

Rewrite the equation as $π r^{2} h = v$ .

$π r^{2} h = v$

Subtract $π r^{2} h$ from both sides of the equation.

$0 = v - π r^{2} h$

Rewrite the equation as $v - π r^{2} h = 0$ .

$v - π r^{2} h = 0$

Step 2

Solve the equation for $h$ .

Rewrite the equation as $(0) \cdot (r^{2} h) = v$ .

$(0) \cdot (r^{2} h) = v$

Multiply $(0) (r^{2} h)$ .

Multiply $r^{2}$ by $0$ .

$0 h = v$

Multiply $0$ by $h$ .

$0 = v$

Rewrite $0 = v$ so $v$ is on the left side.

$v = 0$

The variable $h$ got canceled.

All real numbers