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.

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 × r^{2} = 3.14 × 3.5 × 3.5 = 38.5 cm^{2}

Since 1 l = 1dm^{3} = 1000 cm^{3}

Volumetric flow rate = 192.5 × 1000 cm^{3}/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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PREVIOUSA farmer connects a pipe of internal diameter 25 cm from a canal into a cylindrical tank in his field, which is 12 m in diameter and 2.5 m deep. If water flows through the pipe at the rate of 3.6km/hr, in how much time will the tank be filled? Also, find the cost of water if the canal department charges at the rate of Rs 0.07 per m3.NEXT150 spherical marbles, each of diameter 14 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.

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