Q. 294.8( 20 Votes )

Water is flowing

Answer :

Let the level of water in cylinder tank rises in half an hour be H cm.

Given-


Radius of cylindrical tank(R) = 40 cm


Internal radius of cylindrical pipe(r) = 2/2 = 1 cm


Length of water flow in 1 second = 0.4 m


= (0.4 × 100) cm


= 40 cm


Length of water flow in 30 minutes(h) = 40× 30× 60 = 72000 cm


Now,


Volume of water in cylinder tank


= Volume of water flow from Cylindrical pipe in half an hour


π × (R)2× H = π × (r)2× h


(40)2× H = (1)2× 72000


H = 72000/1600 = 45 cm


Level of water in cylinder tank rises in half an hour = 45 cm


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