Answer :
As we know that 1m = 100cm
Therefore,
Radius (r1) of circular end of pipe =
= 0.1 m
Area of cross-section =π × r12
= π × (0.1)2
= 0.01 π m2
Speed of water = 3 km/h
=
=
= 50 meter/min
The volume of water that flows in 1 minute from pipe = 50 × 0.01 π
= 0.5π m3
The volume of water that flows in t minutes from pipe = t × 0.5π m3
Radius (r2) of circular end of cylindrical tank =
= 5 m
Depth (h2) of cylindrical tank = 2 m
Let the tank be filled completely in t minutes
The volume of water filled in the tank in t minutes is equal to the volume of water flowed in t minutes from the pipe
The volume of water that flows in t minutes from pipe = Volume of water in the tank
t× 0.5π = π ×(r2)2 × h2
t× 0.5 = (5)2 ×2
t = 100
Hence, the cylindrical tank will be filled in 100 minutes.
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