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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.
Assume that the length of all edges of the cube=x unitsFormula for volume of cube=x³ cube unitDue 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=xVolume of the cylinder=π×{x/2}²×x=22/7×x³/411/14x³ cube unitVolume of cone should be=1/3π{x/2)²×x=11/42 cubic unitRequired ratio=volume of cube:volume of cylinder:volume of cone=x³:11/14x³:11/42x³=42:33:11
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