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A closed cylinder has volume 2156cm3....

A closed cylinder has volume 2156cm3. What will be the radius of its base so that its total surface area is minimum?

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Let the radius and height of the cylinder be `r` and `h`.
`V=pir^2h`
`2156=pir^2h`
`thereforeV=2156/{pir^2}`
Total surface area`=S=(2pir^2+2pirh)`
...
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