We are given the formula for the volume of a cone: $V = \frac{1}{3} \pi r^2 h$. We want to solve this equation for $h$.

1. Problem Description

We are given the formula for the volume of a cone: $V = \frac{1}{3} \pi r^2 h$. We want to solve this equation for $h$.

2. Solution Steps

We want to isolate $h$ in the equation $V = \frac{1}{3} \pi r^2 h$.

First, multiply both sides of the equation by 3:

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

$3V = \pi r^2 h$

Now, divide both sides by $\pi r^2$:

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

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

Therefore, $h = \frac{3V}{\pi r^2}$.

3. Final Answer

The equation solved for $h$ is $h = \frac{3V}{\pi r^2}$.

The answer is D.