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need to find outer surface area of the following body
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That's too much to help. It would take time. contact @Nnesha
Since the measurements do not have tight tolerances, it is sufficient to approximate/simply the surface area as a revolution of the following figure. |dw:1471467838005:dw| for the surface of the curved and slanted parts, use Pappus' first theorem, "The first theorem of Pappus states that the surface area S of a surface of revolution generated by the revolution of a curve about an external axis is equal to the product of the arc length s of the generating curve and the distance d_1 traveled by the curve's geometric centroid x_bar." (see http://mathworld.wolfram.com/PappussCentroidTheorem.html)
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