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TNPSC Group-I 2021 · Question 127 of 148

The volume of a solid hemisphere is 29106 cm^3. Another hemisphere whose volume is two third of the above is carved out. Find the radius of the new hemisphere.

Aptitude - Mensuration

  1. A21.5 cm
  2. B12 cm
  3. C21 cmCorrect
  4. D23 cm

Answer: C. 21 cm

Explanation

New volume = (2/3) x 29106 = 19404 = (2/3)πr^3, giving r^3 = 9261 and r = 21 cm.

Source: TNPSC Group-I Prelims (held 3 Jan 2021) - official paper via examrace.com

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