For a cylinder and a cone, the ratio of the circumference of the bottom surface is 2:3, the ratio of their volume is 5:6, and the simplest integer ratio of the height of the cone and the cylinder is () A. 54:23B. 54:2C. 15:8D. 8:5

For a cylinder and a cone, the ratio of the circumference of the bottom surface is 2:3, the ratio of their volume is 5:6, and the simplest integer ratio of the height of the cone and the cylinder is () A. 54:23B. 54:2C. 15:8D. 8:5

The simplest integer ratio of the height of a cone to a cylinder is: [6 × 3 △ 32]: (5 △ 22), = 2:54, = 8:5; therefore, D

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

A cylinder and a cone have the same base and height. It is known that the circumference of the bottom surface of the cone is 25.12cm and the height is 30cm. What is the volume of the cylinder in square centimeter?

The perimeter of the bottom surface is C = 2 π r = 25.12, so r = 4
The bottom area is s = π R & # 178; = 50.24
V cylinder = sh = 50.24 × 30 = 1507.2cm & # 179;