What type of solid is represented by the formula V = πr²h?

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

To derive this formula intuitively, the area of the base of the cylinder is calculated using ( \pi r^2 ), which gives the area of a circle. Since the cylinder extends vertically to a height ( h ), the volume is determined by multiplying this area by the height, effectively stacking the circular base ( h ) times to create the three-dimensional shape of the cylinder.

This is why the correct answer is the cylinder, as it accurately matches the geometric properties expressed in the volume formula provided in the question.