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

Let *x* hours be the time taken for the pipe to fill the tank.

Since the water is flowing at the rate of 3 Km/h, Therefore,

Length of the water column in *x* hours is

Therefore, the length of the pipe is

The radius of the pipe is

Therefore, the volume of the water flowing through the pipe in *x* hours is

Also, Volume of the water that falls into the tank in *x* hours is

We have the volume of the water flowing through the pipe in *x* hours = Volume of the water that falls into the tank in *x* hours

Thus equate equations (1) and (2)

Thus, the water in the tank will fill in 100 minutes.

**
**