How many litres of water flow out of a pipe having an area of cross-section of 5cm^{2} in one minute, if the speed of water in the pipe is 30 cm/ sec?

#### Solution

Given data is as follows:

Area of cross-section of the pipe = 5 cm^{2}

Speed of water = 30 cm/sec

We have to find the volume of water that flows through the pipe in 1 minute.

Volume of water that flows through the pipe in one second = `pir^2h`

Here, `pir^2` is nothing but the cross section of the pipe and h is 30 cm.

Therefore, we have,

Volume of water that flows through the pipe in one second = 5 × 30

= 150 cm^{3}

Volume of water that flows through the pipe in one minute = 150 × 60

= 9000 cm^{3}

We know that 1000 cm^{3} = 1 liter. Therefore,

Volume of water that flows through the pipe in one minute = 9 liters

Hence, the volume of water that flows through the given pipe in 1 minute is 9 liters.