Q. 224.5( 11 Votes )

# 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 4/5^{th} of the cylindrical vessel then find the rainfall in centimetre.

Answer :

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

πr^{2}h = 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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