A cylinder is inscribed in a sphere. The radius of the sphere is 4/5 times the height of the cylinder. What is the ratio of the volume of the cylinder to the volume of the sphere?
The radius of the sphere is 4/5 times the height of the cylinder. Let the height of the cylinder be 5, then the radius of the sphere = 4. (Radius of the cylinder) ² = 42- (5/2)2 = 16 - 6.25 = 9.75. The radius of the cylinder = √9.75 (But for calculation, let's assume the radius of the cylinder is found accordingly) 
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