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SSC MTS 2025 · PYQ · Mensuration · medium

A solid metallic hemisphere of radius 7 cm is melted and recast into a cone of base radius 7 cm. Find the height of the cone.

Answer

The correct answer is B: 14 cm. Volume of hemisphere = (2/3)πr³ = (2/3)π(7)³. Setting equal to (1/3)π(7)²h gives h = 14 cm.

  1. A.15 cm
  2. B.14 cm✓ Correct
  3. C.10 cm
  4. D.18 cm

Explanation

Volume of hemisphere = (2/3)πr³ = (2/3)π(7)³. Setting equal to (1/3)π(7)²h gives h = 14 cm.
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