The formula you've written, $v = \frac{1}{3} \pi r^2 h$, represents the volume of a cone. Here's a breakdown of the variables and how the formula works:

• $v$ = Volume of the cone
• $\pi$ = Pi, approximately 3.14159
• $r$ = Radius of the base of the cone
• $h$ = Height of the cone

The formula tells us that the volume of a cone is one-third of the volume of a cylinder with the same base and height.

Would you like a detailed explanation or an example calculation?

Related Questions:

1. How do you derive the volume formula of a cone?
2. What is the difference between the volume formulas of a cone and a cylinder?
3. How does changing the radius affect the volume of a cone?
4. How does changing the height affect the volume of a cone?
5. Can you compare the volumes of a cone and a sphere with the same radius?

Tip:

Remember, the volume of a cone depends heavily on both the square of the radius and the height, so small changes in these values can greatly affect the volume.