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

The formula for finding the volume of a cylinder is indeed Pi times the radius squared times the height, which is represented mathematically as πr²h. This formula arises from the geometric definition of a cylinder, where the base is a circle. The area of that circular base is calculated using the formula for the area of a circle, which is πr². To find the volume, this area is then multiplied by the height of the cylinder. This step effectively stacks that circular area along the height, creating the three-dimensional space that gives the cylinder its volume.

In contrast, other options present formulas that apply to different shapes or contexts. The formula that states Pi times radius times height does not accurately account for the shape of the circular base; it lacks the necessary squaring of the radius. The option involving L x W x H is associated with the volume of a rectangular prism and doesn't apply to cylinders. Lastly, the option written as B x H x D might lead one to think about area, but it does not correctly represent the specific calculations needed for a cylinder's volume. Thus, option A correctly encompasses the geometric principles involved in calculating the volume of a cylinder.