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Quandaries & Queries
Q & Q
 Topic: volumes of revolution
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 Volumes 1998-08-29 From Lorraine Wall:Consider the region in the first quadrant bounded by the x and y axes, the vertical line x=3 and the curve y = 1 / (x squared + 3). Determine the volume of the solid by rotating this region about the x-axis. Now that is the first part. I then have to find the coordinates of the centroid of the solid by rotating this region about the x-axis. Thanks. LorraineAnswered by Harley Weston. Volumes of Revolution 1998-07-24 From Lorraine Wall:I'm on the section fpr The Computation of Volumes of Solids of Revolution and the following question is giving me problems: -Consider the region in the first quadrant bounded by the x-and y-axes, the vertical line x=3, and the curve y=1/(xsquared + 3) I can determine the volume of the solid by rotating the region about the y-axis using the shell method but I can't seem to be able to get started with the volume when rotated about the x-axis.Answered by Harley Weston.

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