Question

A hemi-spherical bowl of internal radius $15cm$ contains a liquid. The liquid is to be filled into cylindrical bottles of diameter $5cm$ and height $6cm$. How many bottles are necessary to empty the bowl?

Answer 1

Volume of hemi-spherical bowl is $\frac{2}{3}\pi r^3=\frac{2}{3}\times \frac{22}{7}\times {15}^3=7071.42{cm}^3$

volume of cylindrical bottle is $\pi r^{2}h=\frac{22}{7}\times {\left(\frac{5}{2}\right)}^2\times 6=117.857c{m}^3$

$\frac{7071.42}{117.85}=60$ bottles are required to pour the liquid from hemi-spherical bowl to bottles