The statement you provided describes the components of a cylinder and how they relate to its volume, but it contains an error in the formula. The volume formula for a cylinder is V = πr²h, not V = 2πr²h.
To provide an informal argument for the correct volume formula, you can say:
A cylinder has two circular bases with area πr². To find the volume, you can think of stacking these bases up to the height (h) of the cylinder. Since the volume is essentially the area of the base multiplied by the height, you multiply the area of one base (πr²) by the height (h) to get the total volume, resulting in the formula V = πr²h.
This clearly explains why the volume of a cylinder is derived from the area of the base and the height.