# Volume by integration and finding the centroid

Submitted by Andrei on March 22, 2016 - 5:55pm

please help me with this!!!

Im really having hard time getting this.

Region 1 is bounded by the x axis, the line x=1 and the curve y=x^2. Region 2 is bounded by the two curves y=x^2 and x=y^2. Region 3 is bounded by the y axis, the line y=1 and the curve x=y^2. Find the volume and centroid of the solid generated when the indicated region is revolved about the given line:

A. Region 1 is revolved about y axis

Region 1 is revolved about x axis

B. Region 2 is revolved about y axis

Region 2 is revolved about x axis

C. Region 3 is revolved about y axis

Region 3 is revolved about x axis

Region 3 is revolved about the line y=2

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