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Question
The height h of a cylinder equals the circumference of the cylinder. In terms of h what is the volume of the cylinder?
Solution
Let h be the height of the cylinder with radius r.
It is given that:
`2pi r = h`
`⇒ r = h/(2pi)`
Therefore, the volume of the cylinder is
`V = pi r^2 h`
` ⇒ V = pi (h/(2pi)) h = h_3/(4pi)`
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