Q. 175.0( 6 Votes )

A cylindrical pip

Answer :

Let the time taken by pipe to fill the tank is 't' minutes.


Rate of flow of water = 20 meter per minute


Length of water that flows through pipe in 't' minutes = 20t meters


= 20t(100) cm


= 2000t cm


Diameter of cylindrical pipe = 4 cm


Radius of cylindrical pipe,


Volume of water that flows through pipe in 't' minutes = πr2h


Where, r is radius of pipe and h is the length of water that flows through pipe in 't' minutes


Volume of water = π(2)2(2000t)


= 8000tπ cm3


Also, Volume of water that flows through pipe is equal to the volume of conical tank.


Radius of conical tank, r = 40 cm


Height of conical tank, h = 72 cm


Volume of conical tank , where r is radius of tank and h is the height(depth) of tank.


Volume of conical tank


Therefore, we have


8000tπ = 38400π


t = 4.8 minutes = 4 minutes 48 seconds.


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