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.