Q21 of 227 Page 897

The rain water from a roof of 44 m × 20 m drains into a cylindrical tank having diameter of base 4 m and height 3.5 m. If the tank is just full, find the rainfall in cm.

Length of the roof = 44 m


Breadth of the roof = 20 m


Diameter of the cylindrical tank = 4 m


Radius of the cylindrical tank = 2 m


Height of the cylindrical tank = 3.5 m


Volume of roof = l x b x h
= 44X20 X h
volume of cylinder = x2x2x


Height of roof = height of rainfall
And
Volume of water on roof = Volume of Water in cylindrical tank
44X 20 X h = × 2 x 2 x
44 X 20 X h = 22 × 2 × 2 ×


880 × h = 44
h =
h = .05 m
h = 5 cm


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