What is the volume formula for a cylinder?

The volume formula for a cylinder is V = πr²h, where "V" represents the volume, "r" is the radius of the base of the cylinder, and "h" is the height of the cylinder. This formula is derived from the fact that the volume of a cylinder is calculated by finding the area of the circular base (which is πr²) and then multiplying that area by the height (h) of the cylinder.

The reasoning behind this derivation lies in the geometric structure of the cylinder: it consists of a base that is a circle and extends vertically up to a specific height. By multiplying the area of the base by the height, we effectively "stack" the circular areas on top of each other to fill the entire volume of the cylinder.

The other choices provided represent different volume formulas for various geometric shapes. For instance, V = 4/3πr³ corresponds to the volume of a sphere, V = πr^2 + πrl is the formula for the surface area of a cone, and V = 2πr² + 2πrh pertains to the surface area of a cylinder, not its volume. Thus, recognizing the specific parameters of the cylinder and applying the correct