The volume of a cylinder is equal to that of a cone. The circumference of the bottom of the cylinder is twice that of the cone. The height of the cylinder is () A. 16b. 6x C. 112d. 12x

The volume of a cylinder is equal to that of a cone. The circumference of the bottom of the cylinder is twice that of the cone. The height of the cylinder is () A. 16b. 6x C. 112d. 12x

Because the circumference of the bottom of the cylinder is twice that of the cone, let the area of the bottom of the cone be s, then the area of the bottom of the cylinder is (2 × 2) × s = 4S, the height of the cylinder is h, the volume of the cylinder is v = 4sh, the volume of the cylinder is the volume of the cone, the height of the cone is 4sh △ 13 △ s = 12h, and the ratio of the height of the cylinder and the cone is h △ 12h = 112