The water from a roof, 9 sq. metres in area, flows down to a cylindrical container of 900 cm$$^2$$ base. To what height will the water rise in cylinder if there is a rainfall of 0.1 mm?
Assume the height of water in the cylinder = h
Then the volume of water on the roof = 90000 square cm * 0.01 cm = 900 cubic cm
For the cylinder, we have the volume as base of area*height= 900h cubic cm.
=> 900 = h*900
=> h = 1 cm
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