Q. 124.1( 7 Votes )
The rainwater from a roof 22 m × 20 m drains into cylindrical vessel having diameter of base 2 m and height 3.5 m. If the vessel is just full. Find the rainfall in cm.
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.
volume of cylinder = πr2h
Volume of cuboid = L×B×H
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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