. A farmer connects a pipe of internal diameter 20 cm from 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 kilometer per hour, in how much time will the tank be filled?

 

Best Answer

Explanation:

Radius of cylindrical tank (R) = 10/2=5m

Depth of the cylindrical tank(H)=2m

Radius of cylindrical pipe(r)=20/200=0.1m     

Length of water that flows through the pipe in one hour =3km

Length of water that flows through the pipe in one minute(h)=3km/60

 =3×1000m/60 

 =50m                                                                                        

Volume of water that flows through pipe in t minutes = volume of water in cylindrical tank

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Hence, the cylindrical tank will be filled in 100 minutes.

Final answer: Hence, the cylindrical tank will be filled in 100 minutes.

 

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