A cylindrical pip

Given:

Inner diameter = 7 cm

Rate of flow of water = 192.5 litres/min.

To find: Rate of flow of water.

Formula Used: Volume of cylinder = πr²h

Explanation:

The inner diameter of the pipe = 7 cm

The inner radius of the pipe = = 3.5 cm

We have,

Water flows at the rate 192.5 litres per minute,

⇒ The volume of water that flows in 1 min = 192.5 l

⇒ Volume of water that flows in 60 min = (192.5 × 60) l

As 1 l = 1000 cm³

⇒ (192.5 × 60) l = (192.5 × 60 × 1000) cm³

Let “h” cm be the length of column of water which flows in 1 hour.

As water is flowing from cylindrical pipe,

So, Water column forms a cylinder of radius 3.5 cm and length “h” cm.

Volume of water that flows in 1 hour = volume of the cylinder

⇒ h = 300000 cm

As

⇒ h = 300000 cm

= 3 km

Hence, the rate of flow of water is 3 km/h.