What is the volume of a cylinder formula?

The formula for the volume of a cylinder is derived from the concept of the area of a circle and 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 represents the radius of that circle. To find the volume, this area is then multiplied by the height (h) of the cylinder, resulting in the formula πr²h.

This reflects the idea that the volume of a cylinder is essentially the area of its circular base extended through its height, allowing for the calculation of the three-dimensional space it occupies. Using this formula allows one to determine how much liquid or material can fit within the cylinder.