Question

A hemispherical bowl of internal diameter 30 cm contains some liquid. This liquid is to be poured into cylindrical bottles of diameter 5 cm and height 6 cm each. Find the number of bottles necessary to empty the bowl.

Answer 1

Internal diameter of hemispherical bowl = 30 cm

Radius = 15 cm

Volume = 2/3 πr³

= 2/3 π(15)³

= 2250 π cm³

Diameter of the cylindrical bottle = 5 cm

Radius = 2.5 cm

Volume of one cylindrical bottle = πr²h

= π x (2.5)² x 6

= 37.5π cm³

Now,

Amount of water in n bottles = Amount of water in bowl

n × 37.5π = 2,250π

or n = 60

So, 60 numbers of bottles are required to empty the bowl.