1. The problem asks to solve the volume formula of a cone for the height $h$. 2. The volume formula of a cone is given by: $$V = \frac{1}{3} \pi r^2 h$$ where $V$ is the volume, $r$ is the radius of the base, and $h$ is the height. 3. To solve for $h$, multiply both sides by 3 to cancel the denominator: $$3V = \pi r^2 h$$ 4. Next, divide both sides by $\pi r^2$ to isolate $h$: $$h = \frac{3V}{\pi r^2}$$ 5. Using the cancellation notation for clarity: $$3V = \cancel{\pi r^2} h \quad \Rightarrow \quad h = \frac{3V}{\cancel{\pi r^2}}$$ 6. Therefore, the equivalent formula solved for $h$ is: $$h = \frac{3V}{\pi r^2}$$ This matches the first answer choice. Final answer: $h = \frac{3V}{\pi r^2}$