Question

A hemispherical tank full of water is emptied by a pipe at the rate of 14 2/7 litres per second . How much time will it take to empty three fourth of the tank , if it is 4 m in diameter.

Answer 1

Given diameter d = 3m = 300 cm radius r = 150 cm Vol of hemisphere = 2 3 π r 3 . Vol of 1 2 of hemisphere = 1 3 π r 3 = 1 3 × 22 7 × 150 × 150 × 150 = 110 × 22500 7 cm3 rate of emptying = 25 7 litres/sec = 25 × 1000 7 cm3/sec ∴ Time taken = 110 × 22500 7 × 25 × 1000 7 = 990 10 secs ∴Time taken is 1 min 39 secs.

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