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Mathematical problems (cones and cylinders)
1. The volume of a cylinder and a cone is equal, and the ratio of the radius of the bottom surface is 1: 3, so what is the ratio of their heights?

If the volumes of a cylinder and a cone are equal, the volume ratio is 1: 1.

When the ratio of the radius of the cylinder to the radius of the cone bottom is 1: 3, the ratio of the bottom area is (/kloc-0 /×1): (3× 3) =1:9.

The ratio of cylinder height to cone height is (1÷1): (1÷1/3 ÷ 9) = 3:1.

2. The volume ratio of cylinder and cone is 1: 6, and the radius of bottom surface is equal, so what is their height ratio?

If the radius of the bottom surface of a cylinder and a cone is equal, the ratio of the bottom surface area is 1: 1.

The ratio of cylinder height to cone height (1÷1): (6 ÷1/3 ÷1) =1:18.