If the area of the bottom of the cylinder and the cone is equal, and the height of the cylinder is 1 / 2 of the height of the cone, then the volume of the cone is ()?

If the area of the bottom of the cylinder and the cone is equal, and the height of the cylinder is 1 / 2 of the height of the cone, then the volume of the cone is ()?


If the cylinder height is h, the cone height is 2H
The volume of cylinder is V1 = sh
A volume V2 = 1 / 3S * 2H = 2 / 3SH
So, the volume of a cone is 2 / 3 that of a cylinder