Water is flowing through a pipe of diameter 7cm at rate of 4km/h. What is the distance covered by water in the pipe in 6 minutes.
Pls give working also.
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9th
Maths
Surface Areas and Volumes
Volume of Cube, Cuboid and Cylinder
Water flows through a cylin...
MATHS
Water flows through a cylindrical pipe of internal diameter 7cm at 5m/s. Calculate:
(i) the volume, in litres, of water discharged by the pipe in 1 minute
(ii) the time, in minutes, the pipe would take to fill an empty rectangular tank 4m by 3m by 2.31m.
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ANSWER
In one sec. length of water flow in pipe =5m
Radius =
2
7
=3.5cm=0.00355m
Volume of water flow per sec =πr
2
h=π(0.0035)
2
×5
=192.5×10
−6
m
3
Volume of water discharged per minute =192.5×10
−6
m
3
×60
=11.55×10
−3
m
3
=0.01155m
3
=11.55litre
Volume of tank =4×3×2.31=27.72m
3
∵1m
3
=1000litre
Volume of tank =27720litre
Time to fill the tank =
11.55
27720
=2400minutes
=
60
2400
=40hours