water running in a cylindrical pipe of inner diameter 7 cm, is collected in a container at the rate of 192.5 litres per minute.find the rate of flow of water in the pipe in km/hr

Given: Diameter of cylindrical pipe = 7 cm

Now, As water running in a cylindrical pipe is collected in a container at the rate of 192.5 litres per minute

∴Volume of water flows in 1 min = 192.5 Litres

⇒Volume of water flows in 1 hour = 192.5 × 60 × 1000 cm^{3 } ......(i)

Let the distance covered by water in 1 hour = *l*

Volume of water that covers the diameter of 1 hour = *πr*^{2}*l* .....(ii)

From (i) and (ii), we get,

⇒ *πr*^{2}*l* = 192.5 × 60 × 1000

∴ The distance covered by water in 1 hr = 3 km.

Thus, Rate of flow of water = 3 km/hr

**
**