Question 1
Use Pappus's Theorem to find the volume of the solid generated by revolving the region R enclosed by y =

, x = 0, and y =1 about the line y = -1 given that the centroid of the region R is at the point
(

,

) = (

,

).
Question 2
Find the centroid of the plane quadrilateral region with corners at (0, 0), (0, 2), (2, 3), and (1, 0).
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