Which of the following formulas represents the volume of a cylinder?

The formula for the volume of a cylinder is ( V = \pi r^2 h ). This equation incorporates the radius (( r )) of the cylinder's base and its height (( h )). The base of the cylinder is a circle, and the area of a circle is calculated using ( \pi r^2 ). To find the volume, you multiply the area of the base by the height, resulting in the formula ( V = \pi r^2 h ).

The other options do not correctly describe the volume of a cylinder. For instance, options involving ( d ) (diameter) or expressions that lack height and involve only the radius without the correct multiplication for volume would not yield the correct formula for a cylinder's volume. Thus, ( V = \pi r^2 h ) is the only accurate representation of the volume of a cylinder.