Question

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

Answer 1

Let number of cylindrical bottles be 'n'. Then,

$n\times$Volume of 1 bottle $=$ Volume of hemisphere bowl

$\Rightarrow n\times \pi r^{2}h=\frac{2}{3}\pi R^3\Rightarrow n\times {\left(2.5\right)}^2\times 6=\frac{2}{3}\times {\left(15\right)}^3$

$\Rightarrow n=\frac{2\times 15\times 15\times 15}{{\left(2.5\right)}^2\times 6\times 3}=60$