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SSC CHSL 2023 · PYQ · Mensuration · medium

24 equal solid hemispheres are melted to form a right circular cylinder of radius 12 cm and height 24 cm. Find the radius of each solid hemisphere.

Answer

The correct answer is C: 6 cm. Volume of cylinder = π×12²×24 = 3456π. Volume of one hemisphere = (2/3)πr³.

  1. A.4 cm
  2. B.3 cm
  3. C.6 cm✓ Correct
  4. D.8 cm

Explanation

Volume of cylinder = π×12²×24 = 3456π. Volume of one hemisphere = (2/3)πr³. 24×(2/3)πr³ = 3456π → 16r³ = 3456 → r³ = 216 → r = 6 cm.
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