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CAT 2022 Slot 3 · Quant · Mensuration · easy

A cylindrical tank of radius 7 m and height 10 m is full of water. The water is pumped out into empty cubical tanks of side 7 m. What is the minimum…

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A cylindrical tank of radius 7 m and height 10 m is full of water. The water is pumped out into empty cubical tanks of side 7 m. What is the minimum number of such cubical tanks needed to hold all the water?
  1. A. 3
  2. B. 4
  3. C. 5
  4. D. 6
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Answer: (C) 5

Volume of cylinder = πr²h = (22/7) × 7² × 10 = 1,540 m³. Volume of one cube = 7³ = 343 m³. Number needed = 1540/343 ≈ 4.49, which must be rounded up since a partial tank still needs a whole tank — minimum 5 tanks.
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