Mathematics
Water flows into a tank, 150 metres long and 100 metres broad, through a pipe whose cross-section is 2 dm by 1.5 dm at the speed of 15 km per hour. In what time, will the water be 3 metres deep ?
Mensuration
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Answer
Dimensions of the tank :
Length = 150 m
Breadth = 100 m
Required depth = 3 m
Dimensions of the pipe cross-section:
Width = 2 dm = 0.2 m
Height = 1.5 dm = 0.15 m
Speed of water flow = 15 km/h = 15000 m/h
Volume of the tank = l x b x h
= 150 x 100 x 3
= 45000 m3
The volume of water flowing per hour is given by:
Flow Rate = Cross-sectional area x Speed
Cross-sectional area of the pipe = l x b
= 0.2 x 0.15 m2
= 0.03 m2
Water flow per hour = 0.03 x 15000
= 450 m3/ h
Time =
=
= 100 hrs
Hence, the tank will be filled in 100 hours.
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