Question

A hemispherical bowl of internal diameter $36$$cm$ contains a liquid.This liquid is to be filled in cylindrical bottles of radius $3$$cm$ and height $6$$cm.$How many bottles are required to empty the bowl?

Answer 1

$Volumeofhemisphericalbowl=\left(\frac{2}{3}\right)\pi r^3=\left(\frac{2}{3}\right)\times \left(\frac{22}{7}\right)\times (\frac{18}{100}{)}^3{m}^3=0.01221m^{3}Volumeof1cylinder=\pi r^{2}h=(\frac{22}{7})\times (\frac{3}{100}{)}^3\times \left(\frac{6}{100}\right)=0.0001697m^3\therefore numberofbottlesrequired=\left(\frac{0.01221}{0.0001697}\right)=71.95\approx 72bottles.$