The formula you've provided is the volume of a cylinder:

\[
V = \pi r^2 h
\]

Where:
- \( V \) is the volume of the cylinder,
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) (Pi) is approximately 3.14159.

### How It Works:
- The area of the circular base is \( \pi r^2 \), and multiplying it by the height \( h \) gives the volume of the cylinder.

Would you like to see an example, or do you have any questions about this formula?

Here are 5 related questions:
1. What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?
2. How does changing the radius affect the volume of the cylinder?
3. If the height of the cylinder is doubled, how will the volume change?
4. What is the relationship between surface area and volume in a cylinder?
5. How would the volume change if you halve both the radius and the height?

**Tip:** The volume of a cylinder is highly sensitive to changes in radius since the radius is squared in the formula. Even small changes in the radius can significantly impact the volume!

Learn how to calculate the volume of a cylinder using the formula V = πr²h. This problem covers key geometric concepts, including the relationship between the radius, height, and volume. Suitable for students in Grades 8-10, with a detailed explanation and related questions to enhance understanding.

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