1Cademy - Solving the Volume of a Cone Formula for $$h$$

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Solving a Formula for a Specific Variable

Example

Solving the Volume of a Cone Formula for $h$

To solve the volume of a cone formula, $V = \frac{1}{3}\pi r^2 h$ , for the height $h$ , first clear the fraction by multiplying both sides by $3$ to obtain $3V = \pi r^2 h$ . Next, isolate $h$ by dividing both sides by the remaining factors, $\pi r^2$ , resulting in $h = \frac{3V}{\pi r^2}$ .