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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.

Which equation allows us to easily find the height of the cylinder because it is solved for h?

Understand how to derive the height of a cylinder from its volume using the formula V = πr^2h. This guide provides a step-by-step approach to isolate height, h = V / (πr^2), perfect for students in Grades 7-9 looking to enhance their geometry and algebra skills.

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