A hemispherical tank of radius 3 cm is full of milk. It is connected to a pipe, through which liquid is emptied at the 17 litre per second. The time taken to empty the tank completely?
A
0.302 sec
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B
0.396 sec
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C
0.453 sec
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D
0.492 sec
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Solution
The correct option is B0.396 sec Radius of the hemisphere, r = 3 cm. Volume of milk in the sphere =23r3 =23π×33=227×2×32cm3 =227×2×32×11000litre Flow of liquid through the pipe =17 litre per second. Time taken to empty the hemisphere. =227×2×32×11000×7=3861000sec