Q. 244.0( 33 Votes )

# Water is flowing

Answer :

Given,

Diameter of the cylindrical pipe = 2 cm

Radius of the cylindrical pipe = 1 m

Height of the cylindrical pipe = 0.4m/s = 40 cm/s

Water flown in 30 minutes (30 × 60 seconds)

= 40 × 60 × 30 m = 72000 cm

Radius of cylindrical tank = 40 cm

Let Height be h,

As we can see the volume of water which passes through the cylindrical pipe is equal to the volume of water present in the cylindrical tank after half an hour.

So,

Volume of water which passes through the cylindrical = volume of water present in the cylindrical tank after half an hour

πr^{2}h = πr^{2}h

(1)^{2} × 72000 = (40)^{2} × h

72000 = 1600 × h

h = 45 cm

Hence,

The rise in level of water in tank in half an hour will be 45 cm.

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