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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.
Solution
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
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