Question

The rain water from a roof $44m\times 20m$ drains into a cylindrical vessel having diameter $2m$ and height $2.8m$. If the vessel is just full, find the rainfall in cm.

• A. $1cm$
• B. $2cm$
• C. $3cm$
• D. $2.5cm$

Answer 1

The correct option is A $1cm$

Volume of water in the roof will be equal to the volume of water in the cylindrical vessel.

Volume of a cylinder $=\pi R^{2}h$
Radius of the cylindrical vessel $=\frac{Diameter}{2}=1m$

Volume of a cuboid $=l\times b\times h$

Hence, $44\times 20\times h=\frac{22}{7}\times 1^2\times 2.8$
$h=0.01m=1cm$