A farmer connects a pipe of internal diameter 20 cm form a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 kilometers per hour, in how much time will the tank be filled?

Radius (r) of circular end of pipe=10 cm

R=500cm

h=200cm

volume of water flows in 1 hr = Π × 10 × 10 × 300000 (cm3)

volume of cylindrical tank =Π × 500 × 500 × 200

time taken to be fill the tank = volume of cylindrical tank÷volume of water flow in 1 hr

=(Π × 500 × 500 × 200) ÷ Π × 10 × 10 × 300000

=(5÷3)hr

=(5÷3) × 60 =100min

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