What is the equation for the volume of a cylinder?

The equation for the volume of a cylinder is derived from the formula that calculates the area of its base and then multiplies that area by the height of the cylinder. The base of a cylinder is a circle, and the area of a circle is calculated using the formula πr², where r is the radius of the circle. After determining the area of the base, this area is multiplied by the height (h) of the cylinder to find the total volume.

Thus, when we combine these two components, the formula for the volume of a cylinder becomes πr²h. This demonstrates how the volume is influenced by both the size of the base and the height of the cylinder. The other options provided do not represent the volume of a cylinder, which clarifies why they are not correct in this context.