What is the formula for finding the volume of a cylinder?

The volume of a cylinder is calculated using the formula that represents the area of its base and the height. The base of a cylinder is a circle, and the area of a circle is given by the formula πr², where r is the radius. To find the total volume of the cylinder, this area is multiplied by the height (h) of the cylinder. Thus, the complete formula is Volume = πr²h. This allows you to determine how much space is contained within the cylinder.

This formula effectively captures the relationship between the circular base and the height, leading to a clear understanding of how the volume is derived geometrically. In contrast, the other provided formulas either misrepresent the geometric properties of a cylinder or alter the relationships between its dimensions in ways that do not lead to a correct calculation of volume.