A hemispherical bowl of internal diameter 54 cm contains a liquid. The liquid is to be filled in cylindrical bottles of radius 3 cm and height 9 cm. How many bottles are required to empty the bowl?

Volume of hemi-sphere = $frac{2}{3} imes pi imes {(27)^3}{ m{c}}{{ m{m}}^3}$

Volume of cylindrical bottle = $pi {r^2}h$

$= pi imes {(3)^2} imes 9$

∴ Required No. of bottles = $= frac{{frac{2}{3}pi imes {{(27)}^3}}}{{pi imes {{(3)}^2} imes 9}}$

=2×3×27=162 bottles