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A cylinder is heated in such a way that ...

A cylinder is heated in such a way that its radius always remains twice of its height when the radius is 3 cm, find the rate of increase of its volume. The radius is increased at the rate of 2 cm/s. Also find the rate of increase of its total surface area.

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The correct Answer is:
`27pi cm^(3)//s, 36pi cm^(2)//s`
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