A cylinder and a cone have the same volume and height. If the radius of the cylinder is 5 mathrm{~cm}, determine the radius of the cone to the nearest tenth of a centimeter.

Question

Accepted Answer

Step:1 ：(V_{cylinder} = V_{cone})Step:2 ：(pi r_{cylinder}^2 h = frac{1}{3} pi r_{cone}^2 h)Step:3 ：(r_{cylinder}^2 = frac{1}{3} r_{cone}^2)Step:4 ：(5^2 = frac{1}{3} r_{cone}^2)Step:5 ：(25 = frac{1}{3} r_{cone}^2)Step:6 ：(r_{cone}^2 = 75)Step:7 ：(r_{cone} = sqrt{75})Step:8 ：(r_{cone} approx 8.7)Step:9 ：(boxed{8.7})

Answer

Step: 1 ：(V_{cylinder} = V_{cone})Step: 2 ：(pi r_{cylinder}^2 h = frac{1}{3} pi r_{cone}^2 h)Step: 3 ：(r_{cylinder}^2 = frac{1}{3} r_{cone}^2)Step: 4 ：(5^2 = frac{1}{3} r_{cone}^2)Step: 5 ：(25 = frac{1}{3} r_{cone}^2)Step: 6 ：(r_{cone}^2 = 75)Step: 7 ：(r_{cone} = sqrt{75})Step: 8 ：(r_{cone} approx 8.7)Step: 9 ：(boxed{8.7})

A cylinder and a cone have the same volume and height. If the radius of the cylinder is $5 cm$ , determine the radius of the cone to the nearest tenth of a centimeter.

Answer

Popular Problems

A cylinder and a cone have the same volume and height. If the radius of the cylinder is 5 cm, determine the radius of the cone to the nearest tenth of a centimeter.

Answer

Popular Problems

A cylinder and a cone have the same volume and height. If the radius of the cylinder is $5 cm$ , determine the radius of the cone to the nearest tenth of a centimeter.