Q. 175.0( 6 Votes )
A cylindrical pip
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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