What is the formula used to find the volume of a cylinder?

The formula used to find the volume of a cylinder is ( V = \pi r^2 h ). In this equation, ( r ) represents the radius of the base of the cylinder, and ( h ) is the height of the cylinder.

To clarify, ( \pi r^2 ) gives you the area of the circular base (as ( A )), and when you multiply that area by the height ( h ), you obtain the volume of the cylinder. This makes intuitive sense since volume is the amount of space that an object occupies, and for a cylinder, this is determined by the area of its base multiplied by how tall it extends upward.

The other options provided do not pertain to the volume calculation of a cylinder. The formula in the second option actually calculates the volume of a sphere, while the next option represents the circumference of a circle, and the fourth option gives the area of the base of a cylinder but does not include the height, which is necessary for finding volume.