Question

Question 16
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?

Answer 1

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 = $\frac{Volumeofhemisphericalbowl}{Volumeofonecylindricalbottle}$
$=\frac{\frac{2}{3}\pi r^3}{\pi r^{2}h}=\frac{\frac{2}{3}\times \pi \times 9\times 9\times 9}{\pi \times 1.5\times 1.5\times 4}=54$