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.

Question

Philoid · Accepted Answer

Given,

Diameter of the cylindrical pipe = 7 cm

Radius of the pipe = 3.5 cm

Volumetric flow rate = 192.5 l/min

Flow rate =

Area = pi × r² = 3.14 × 3.5 × 3.5 = 38.5 cm²

Since 1 l = 1dm³ = 1000 cm³

Volumetric flow rate = 192.5 × 1000 cm³/min

So,

Flow rate = = 5000 cm/min

Flow rate in km/h = 5000 cm/min = 5000 × 0.00001 km/( h) = 3 km/h