Question

A hemispherical bowl of internal radius 9cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3cm and height 4cm. How many bottles are required to empty the bowl?

Answer 1

It is given that

Internal radius of the hemispherical bowl = 9cm

Diameter of the hemispherical bowl = 9/2 = 4.5 cm

Diameter of the bottle = 3cm

Radius of the bottle = 3/2 = 1.5cm

Height of the bottle = 4cm

We know that

Number of bottles = Volume of bowl/ Volume of each bottle

So we get

Number of bottles = (2/3 πR³)/ (πr²h)

By substituting the values

Number of bottles = (2/3 π (9)³)/ (π (3/2)²h)

On further calculation

Number of bottles = (2/3 (9)³)/ ((3/2)²h)

So we get

Number of bottles = 54

Therefore, 54 bottles are required to empty the bowl.