A cylinder is within the cube touching all the vertical face. A cone is inside the cylinder. If their height are the same with the same base find the ratio of their volume.

Question

Arun · Answer

Assume that the length of all edges of the cube=x units Formula for volume of cube=x³ cube unit Due an occurrence that the cylinder is within the cube &it touches all the vertices faces of the cube. Therefore radius of the base of the cylinder & cone & height of cylinder of a cone=x Volume of the cylinder=π×{x/2}²×x=22/7×x³/4 11/14x³ cube unit Volume of cone should be=1/3π{x/2)²×x=11/42 cubic unit Required ratio=volume of cube:volume of cylinder:volume of cone =x³:11/14x³:11/42x³=42:33:11

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A cylinder is within the cube touching all the vertical face. A cone is inside the cylinder. If their height are the same with the same base find the ratio of their volume.

A cylinder is within the cube touching all the vertical face. A cone is inside the cylinder. If their height are the same with the same base find the ratio of their volume.

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