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refer to the region in the Cartesian plane below y = 4 x^2 and above y = 0, where 0 x 2, Find the surface

refer to the region in the Cartesian plane below y = 4 x^2 and above y = 0, where 0 x 2, Find the surface area of the solid (including the areas of its annular base and cylindrical hole) obtained by revolving the region about the line x = 1.

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