The volume of a cylinder and a cone is equal, the ratio of their bottom area is 3:5, the height of the cylinder is 8 cm, the height of the cone is () cm It's best to have a solution

The volume of a cylinder and a cone is equal, the ratio of their bottom area is 3:5, the height of the cylinder is 8 cm, the height of the cone is () cm It's best to have a solution


14.5cm cone volume = 1 / 3 * bottom area * height = 1 / 3 * 5 * h
Cylinder volume = bottom area * height = 3 * h
h=8cm H=(3*8)/(1/3 *5)



The volume of a cylinder and a cone is equal, the ratio of their bottom area is 3:5, the height of the cylinder is 8 cm, and the height of the cone is 8 cm______ Cm


Let the volume of the cylinder and the cone be equal to V, the area of the bottom of the cylinder is 3S, and the area of the bottom of the cone is 5S, then the height of the cylinder is v3s; the height of the cone is 3v5s, so the ratio of the height of the cylinder and the cone is v3s: 3v5s = 5:9, because the height of the cylinder is 8 cm, so the height of the cone is 8 × 9 △ 5 = 14.4 (CM), answer: the height of the cone is 14.4 cm



The volume of a cylinder and a cone is equal, the ratio of their bottom area is 3:5, the height of the cylinder is 8 cm, and the height of the cone is 8 cm______ Cm


Let the volume of the cylinder and the cone be equal to V, the area of the bottom of the cylinder is 3S, and the area of the bottom of the cone is 5S, then the height of the cylinder is v3s; the height of the cone is 3v5s, so the ratio of the height of the cylinder and the cone is v3s: 3v5s = 5:9, because the height of the cylinder is 8 cm, so the height of the cone is 8 × 9 △ 5 = 14.4 (CM), answer: the height of the cone is 14.4 cm