Using integration, determine both the area and the distance yc to the centroid of the shaded area.

Question:

Using integration, determine both the area and the distance yc to the centroid of the shaded area. Then using the second theorem of PappusGuldinus, determine the volume of the solid generated by revolving the shaded area about the x axis.


Given:

a = 1 ft

b = 2 ft

c = 2 ft

dy


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