A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in his field which is 10m is diameter and 4m deep . if water flows through the pipe at the rate of 5km per hour on how much time will the tank be filled
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Step-by-step explanation:
Volume of cylindrical tank = πr^2h
= 22/7 * 10/2 * 10/2 * 2
= 1100 / 7 m^3
Radius of pipe = 10 cm = 0.1 m
Speed = 4 km / hour = 4000m / hr
Let length of water column be 'x' meter
Volume of water column = 1100/7 m^3
= πr^2h
= 22/7 * 0.1 * 0.1 * x
= 0.22x/7
1100/7 = 0.22x/7
1100 = 0.22x
1100/0.22 = x
5000 = x
Length of water column = 5000 m = 5km
Time = Distance / Speed
Time = 5 / 4
= 1.25 hrs
= 1 hours and 15 minutes
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