Question

A farmer runs a pipe of internal diameter 20 cm from the canal into a cylindrical tank in his field which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km / h, in how much time will the tank be filled?

Answer 1

Step-by-step explanation:

hope it helps you good morning

Answer 2

The tank will be filled in 100 minutes.

Step-by-step explanation:

Volume of the cylindrical tank cone = πr²h = π * 5 * 5 * 2 = 50π cu. m.

Radius of the pipe = 10cm = 0.1 m

Volume of the pipe = πr²h = π (0.1)(0.1)(1) = 0.01πh cu. m.

 Volume of pipe = volume of tank

 So 50π = 0.01πh

  Therefore h = 50/0.01 = 5000m = 5 Km.

Rate of flow of water in pipe = 3 Km/hr

 Water travels 3 Km in one hour in the pipe.

So time taken to travel 1 Km = 1/3 hr.

 Time taken to travel 5 Km = 5/3 hr

  = 5/3 * 60  

  = 100 minutes.

So the tank will be filled in 100 minutes.