Question

A hemispherical bowl has diameter 9 cm. The liquid is poured into cylindrical bottles of diameter 3 cm and height 3 cm. If a full bowl of liquid is Riled in the bottles, find how many bottles are required ?

Answer 1

Diameter of the hemispherical bowl ‘d’ = 9 cm 

Its radius, r = d/2 = 9/2 = 4.5cm

Volume of its liquid = Volume of the bowl = 2/3 πr³

= 2/3 x 22/7 × 4.5 × 45 × 4.5

Diameter of the cylindrical bottle, d = 3 cm 

Its radius, r = d/2

= 3.0/2 = 1.5cm

Height of the bottle, h = 3 cm 

Let the number of bottles required = n 

Then total volumes of these n bottles = n πr² h 

But this is equal to volume of the bowl

∴ Number of bottles required = 9