What is the formula for the volume of a cylinder with radius r and height h? In 3-5 sentences, describe an informal argument for this volume formula.

The formula for the volume of a cylinder with radius r and height h is V = πr^2h. To provide an informal argument for this formula, imagine the cylinder as a stack of circular disks with thickness h that make up its height. The area of each disk is πr^2, which represents the base of the cylinder. By multiplying this base area by the height h, we can calculate the volume of any individual disk. Adding up the volumes of all the disks will give us the total volume of the cylinder, resulting in the formula V = πr^2h.