Q. 134.8( 5 Votes )

Answer :

**Given:** Length of roof = 22 m

Breadth of roof = 20 m

Diameter of cylindrical vessel = 2 m

Height of cylindrical vessel = 3.5 m

**To find:** The rainfall in cm.

**Formula Used:**

volume of cylinder = πr^{2}h

Volume of cuboid = L×B×H

**Explanation:**

Given, length of the roof, l = 22m

breadth of the roof, b = 20m

height of the vessel, h = 3.5m

Diameter of base, D = 2m

∴Radius of the base, r =

Let height of the roof = H m

As we know that volume of cylinder =

where h is the height of the cylinder and r is the radius of the base.

If the vessel is full, then we can say that

Volume of roof = volume of the cylindrical tank

⇒ H = 0.025 m

⇒ H = 2.5 cm

Hence the rainfall is 2.5 cm.

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