Question

A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3.5 m. Calculate: the internal volume of the container in m³.

Answer 1

Radius of the cylinder = 3.5 m

Height = 7 m 

Volume of the container = `pi"r"^2"h" + 2/3 pi "r"^3`

`=(22/7 xx 3.5 xx 3.5 xx 7)+(2/3 xx 22/7 xx 3.5 xx 3.5 xx3.5)`

`= 539/2 + 539/6`

`= (1617 + 539)/6`

`= 2156/6`

= 359.33 m³