Q. 283.9( 38 Votes )

# 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 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

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