Mensuration · Question 13 · Hard

A solid metal sphere of radius 6 cm is melted and recast into a cylinder of radius 4 cm. What is the height of the cylinder?

  1. 24 cm
  2. 13.5 cm
  3. 12 cm
  4. 18 cm
Answer and explanation

Answer: D. 18 cm

Explanation: Volumes are equal: (4/3)π × 6³ = π × 4² × h. So 288 = 16h and h = 18 cm.

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