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.