Directions for question :
The graph below shows the varying rate of flow of water (litres/min) through a pipe used to fill a reservoir :Whenever the rate of flow of water changed it did so at a uniform rate, as is apparent from the graph. The reservoir was completely filled up from being empty in the above eight hours.
Question :
What was the volume of the reservoir (in litres)
3600
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The volume of the reservoir will be equal to the volume of water filled by the pipe in the eight hours as exhibited in the graph
Thus the volume of the reservoir
= Area of the region ABCDE + Area of region FGHI
= {(1/2)*20*60 + (1/2)*(10+20)*60 + 10*60 + (1/2)*10*60} + (1/2)*10*(60+180)
= {600+900+600+300} + 1200
= 2400 + 1200
= 3600 liters