From a tap of inner radius 0.75 cm, water flows at the rate of 7 m per second. Find the volume in litres of water delivered by the pipe in one hour.

#### Solution

Given data is as follows:

r= 0.75 cm

Water flow rate = 7 m/sec

Time = 1 hour

We have to find the volume of water the flows through the pipe for 1 hour.

Let us first convert water flow rate from m/sec to cm/sec, since radius of the pipe is in centimeters. We have,

Water flow rate = 7 m/sec

= 700 cm/sec

Volume of water delivered by the pipe is equal to the volume of a cylinder with h=7 m and r = 0.75 cm. Therefore,

Volume of water delivered in 1 second = `22/7 xx 0.75 xx 0.75 xx 700`

We have to find the volume of water delivered in 1 hour which is nothing but 3600 seconds. Therefore, we have

Volume of water delivered in 3600 seconds = `22/7 xx 0.75 xx 0.75 xx 700 xx3600`

= 4455000 cm^{3}

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

Therefore,

Volume of water delivered in 1 hour = 4455 liters

Therefore, volume of water delivered by the pipe in 1 hour is equal to 4455 liters.