What is the formula to calculate the volume of a cylinder?

The formula for calculating the volume of a cylinder is indeed represented by ( V = \pi r^2 h ). In this formula, ( V ) stands for volume, ( r ) is the radius of the base of the cylinder, and ( h ) is the height of the cylinder.

To break it down further, the base of a cylinder is a circle, and the area of a circle is calculated using the formula ( \pi r^2 ). By multiplying the area of the base by the height of the cylinder, you effectively find the total three-dimensional space that the cylinder occupies. This product gives you the volume, as it incorporates both the area of the base and the vertical extent of the cylinder.

The other formulas listed do not accurately represent the volume of a cylinder. For instance, the formula ( V = 2\pi rh ) does not take into account the area of the base at all; instead, it seems to mix dimensions in a way that does not yield volume. Similarly, the expressions ( V = \pi r^2 + h ) and ( V = 2\pi r^2h ) are also not correct for volume calculations; they either misrepresent the relationship