Question

The rain water from a roof of $44m\times 20$ m drains into a cylindrical tank having diameter of base $4m$ and height $3.5m$. If the tank is just full, find the rainfall in cm.

Answer 1

Volume of roof= $l\times b\times h$
= $44\times 20\times h$
Height of roof $=$ Height of rainfall
Volume of cylinder= $\frac{22}{7}\times 2\times \frac{35}{10}$
Volume of water on roof $=$ Volume of Water in cylindrical tank
$44\times 20\times h=\frac{22}{7}\times 2\times \frac{35}{10}$
$44\times 20\times h=22$
$h=\frac{22}{880}$
$\therefore h=\frac{1}{40}m$