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?

Answer 1

Given, radius of hemispherical bowl, r = 9 cm

And radius of cylindrical bottles, R = 1.5 cm and height, h = 4 cm

∴ Number of required cylindrical bottles

= `"Volume of hemispherical bowl"/"Volume of one cylindrical bottle"`

= `(2/3 pir^3)/(pi R^2h)`

= `(2/3 xx pi xx 9 xx 9 xx 9)/(pi xx 1.5 xx 1.5 xx 4)`

= 54