The given equation for the volume of a cylinder is:

$V = \pi r^2 h$

Where:

• $V$ is the volume of the cylinder,
• $r$ is the radius of the cylinder,
• $h$ is the height of the cylinder.

We are tasked with finding the equation that is solved for $h$ (the height). Let's manipulate the formula to isolate $h$.

Starting with:

$V = \pi r^2 h$

To solve for $h$, divide both sides of the equation by $\pi r^2$:

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

The correct answer is the last option:

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

Let me know if you need more details or have any questions.

Here are some related questions you might explore:

1. How can we solve for $r$ if we know $V$ and $h$?
2. What would happen to the height if the radius doubles while the volume stays constant?
3. How does the formula for the volume of a cylinder compare to that of a cone?
4. Can this formula be applied to other shapes, like spheres or cubes?
5. How do units of measurement (such as cm³) affect calculations with this formula?

Tip: When solving for a variable, remember to keep units consistent across all quantities to avoid errors.