Question:
A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4
cm. How many bottles are needed to empty the bowl?
Solution:
Given, radius of hemispherical bowl, r = 9 cm
and radius of cylindrical bottles, R = 1.5 cm and height, h = 4 cm
$\therefore$ Number of required cylindrical bottles $=\frac{\text { Volume of hemispherical bowl }}{\text { Volume of one cylindrical bottle }}$
$=\frac{\frac{2}{3} \pi r^{3}}{\pi R^{2} h}=\frac{\frac{2}{3} \times \pi \times 9 \times 9 \times 9}{\pi \times 1.5 \times 1.5 \times 4}=54$