A right circular cylinder has a radius of r units and a height equal to its diameter. A sphere fits tightly inside the cylinder, touching the top, bottom and curved surface. What is the ratio of the volume of the cylinder to the volume of the sphere?

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• A 2 : 1
• B 4 : 3
• C 3 : 2
• D 1 : 1

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Answer: C. 3 : 2

Height of cylinder h = 2r, and the sphere has radius r.
Volume of cylinder = πr² × 2r = 2πr³. Volume of sphere = (4/3)πr³.
Ratio = 2 : 4/3 = 3 : 2.

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