Let R be the plane region enclosed by the trapezoid with vertices at the points (0, 0), (1, 1), (5, 1), and (6, 0).(i) Find the y-coordinate of the centroid of the region R.(ii) Use Pappus's Theorem to find the volume of the solid generated by revolving the region R about the x-axis.

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The Answer of Let R be the plane region enclosed by the trapezoid with vertices at the points (0, 0), (1, 1), (5, 1), and (6, 0).(i) Find the y-coordinate of the centroid of the region R.(ii) Use Pappus's Theorem to find the volume of the solid generated by revolving the region R about the x-axis.

Let R Be the Plane Region Enclosed by the Trapezoid