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CDS 2022 · PYQ · Mensuration · medium

A tall cylindrical container with circular base of radius 18 cm contains a good quantity of water. Metal balls each of radius 0.9 cm are immersed in it. How many balls are required to raise the water level by 3 cm?

  1. A.1500
  2. B.1000✓ Correct
  3. C.100
  4. D.500

Explanation

Volume rise = π·18²·3 = 972π. Each ball volume = (4/3)π·(0.9)³ = (4/3)π·0.729 = 0.972π. Number = 972π/0.972π = 1000.
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