Question

Rain water which falls in a rectangular surface of $6m\times 4m$ in being transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel of a rainfall of 1 cm has fallen?

Answer 1

Here, As the volume of water will remain conserved whether in rectangular tank or cylindrical vessel.

So, Let the height of water in cylindrical vessel be $h$ metre.

Volume of cylinder$=\pi$ $r^{2}h$

Volume of rectangular tank$=$Surface Area $\times$ Height

Applying conservation of volume$:-$

$6\times 4\times \frac{1}{100}=\pi {\left(\frac{20}{100}\right)}^{2}h$

$\Rightarrow h=\frac{6}{\pi }$ $\approx 1.91m$