The water from a roof, 9 square meters in area, flows down to a cylindrical container of 900 square cm base. To what height will the water rise in the cylinder, if there is a rainfall of 0.1mm?
The area of roof = 9 m²
We have rainfall = 0.1 mm
= 0.1 * m
= 0.0001 m
Hence the volume of water = 9 * 0.0001 m³
= 0.0009 m³
Now , base of cylindrical container = 900 cm²
= 900 * m²
= 0.0900 m²
Let the water rise in cylinder to the height ‘h’ m
We get volume = 0.0900 * h
Hence according to question,
0.0900 * h = 0.0009
h=
h =
h=
= 0.01 m
= 0.01 * 100 cm
= 1 cm
Hence, the rise of water level in cylinder is 1 cm