The rain water from a 22 m × 20 m roof drain into a cylindrical vessel of diameter 2 m and height 3.5 m. If the rain water collected from the roof fills 4/5th of the cylindrical vessel then find the rainfall in centimetre.


Given,


Length of the roof = 22 m


Breadth of the roof = 20 m


Diameter of the cylindrical vessel = 2 m


Radius of the cylindrical vessel = 1 m


Height of the cylindrical vessel = 3.5 m


Volume of the rainfall = area of the roof × depth of the rainfall


πr2h = area of the roof × d


× 3.14 × 1 × 3.5 = 22 × 20 × d


× 11 = 440d


8.8 = 440d


0.02 = d


d = 0.02 m


So,


The rainfall is 2 cm.


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