A hemispherical tank is emptied by a pipe at the rate of 5 litres per minute. How long will it take to half empty the tank if it is 1 whole 1 by 2 metre in diameter.
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Solution:
Radius of hemispherical tank = 3/2 m
Therefore,
Volume of the tank = 2/3 ×22/7 ×(3/2)³= 99/14m³
Volume of the water to be emptied = 1/2 ×99/14 = 99/28m³
= 99000/28 litres
Since, 25/7 litres of water is emptied in one second. Therefore,
Total time taken to empty the half tank, i.e., 99000/28 litres of water
= 99000/28 × 7/25 seconds= 99000/28 ×7/25 ×1/60 minutes
=16.5 minutes
#Hopeithelps..
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