A pipe is connected with a spherical tank empty the tank at 14 litres per second and radius of tank is 6.3 m. how much time taken by pipe to empty the tank.
1. 1247.4 minutes
2. 1257.4 minutes
3. 1247.2 minutes
4. 1257.2 minutes
1. 1247.4 minutes
2. 1257.4 minutes
3. 1247.2 minutes
4. 1257.2 minutes
Correct Answer – Option 1 : 1247.4 minutes
Given:
Radius of tank, r = 6.3 m
Speed of water through pipe = 14 l/s
Formula used:
Volume of tank = (4/3) × πr3
1 m3 = 1000 litres
Calculation:
Volume of tank = (4/3) × πr3
⇒ Volume of tank = (4/3) × (22/7) × (6.3)3
⇒ 1047.816 m3
Volume of petrol in 1 second = 14 litres
⇒ Volume of petrol in 1 second = (14/1000) m3
Time taken by pipe to empty the tank = (Volume of tank)/(Volume of petrol in 1 second)
⇒ (1047.816)/(14/1000)
⇒ 74844 seconds
⇒ (74844)/60 minutes
⇒ 1247.4 minutes
∴ The time taken by pipe to empty the tank is 1247.4 minutes