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

The formula to find the volume of a cylinder is V = πr^2h. In this formula, "V" represents the volume, "π" (pi) is a constant approximately equal to 3.14159, "r" is the radius of the circular base of the cylinder, and "h" is the height of the cylinder.

To understand this formula, consider that a cylinder can be thought of as a stack of many thin circles (disks) that are each the same shape but stacked on top of each other from the base to the height. The area of the base circle is calculated using the formula for the area of a circle, which is A = πr^2. To find the volume of the entire cylinder, this base area is then multiplied by the height of the cylinder (h), resulting in the formula V = πr^2h.

This relationship directly connects the geometry of the cylinder (the radius and height) with the three-dimensional space it occupies, thus giving a clear understanding of how to compute its volume.

The other choices provided do not yield the correct formula for the volume of a cylinder. For instance, one formula calculates the volume in terms of the diameter, another incorrectly represents the