A hemispherical tank full of water is emptied by a pipe at the rate of 7.7 liters per second. How much time (in hours) will it take to empty part of the tank, if the internal radius of the tank is 10.5m?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. .
Volume of the hemisphere = 2/3 × 22/7 × 10.5 × 10.5 × 10.5 = 2425.5 m3
1m3 = 1000l
Total quantity of the tank = 2425.5 × 1000 = 2425500 litres.
2/3 of the capacity of the tank = 2/3 × 2425500 = 1617000.
Time is taken by the tank to empty 2/3 of the tank = 1617000/7.7 = 175/3 hours.