Question

The rain water from a $22m\times 20$ m roof drains into a cylindrical vessel of diameter 2 m and height 3.5 m. If the rain waer collected from the roof fills $\frac{4}{5}$ th of the cylindrical vessel then find the rainfall in centimetre.

Answer 1

Volume of roof =\ (\frac{4}{5}\) of the volume of the cylindrical vessel$\to 22\times 20\times h=\frac{4}{5}\times \frac{22}{7}\times 1\times 1\times \frac{7}{2}$
$h=\frac{1}{50}\left(cm\right)$
$h=2cm$