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Question

A hemispherical tank, of diameter 3m, is full of water. It is being emptied by a pipe at the rate of 347 litre per second. How much time will it take to make the tank half empty?

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Solution

Diameter of tank = 3m
Radius=r=32m
Volume of tank = 2×π×r33=2×22×273×7×8=9914Volume released per second=347litre=257Volume that needs to be removed in m3=12Volume of the hemisphere=992×141m3=1000LVolume that needs to be removed in L =99×100028Time taken to remove the said volume=99×100028×725s=990s

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