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A sphere fits exactly inside a cylinder, touching its curved surface and both flat ends. Find the ratio of the volume of the sphere to the volume of the cylinder.

Competition practiceAreas & Volumes
  • A1:2
  • B3:4
  • C2:3
  • D1:3

Step-by-Step Solution

The cylinder has the same radius and height . Sphere volume = (4/3)π; cylinder volume = ππ. Ratio = (4/3) : 2 = 4 : 6 = 2 : 3.
Answer: C) 2:3

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