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

Explanation

Radius of hemispherical bowl `=18 cm`
Volume of hemispherical bowl` =2/3pixx(18)^3cm^3`
Radius of cylindrical bottle `=3 cm`
Height of cylindrical bottle `=6 cm`
Volume of cylindrical bottle `= (pixx3^2xx6) cm^3`
Suppose `x` bottles are required to empty the bowl.
Volume of `x` cylindrical bottles `= (pixx9xx6x) cm^3`
Volume of liquid in x bottles = Volume of bowl
`pixx54x=2pi/3xx(18)^3`
`x=72`
Hence, `72` bottles are required to empty the bowl.