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A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder. What is the ratio of the volume of the cube to that of the cylinder ?

4 : 3
21 : 16
14 : 11
45 : 32

Correct Answer: 14 : 11

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