# Volume by integration and finding the centroid

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Andrei
Volume by integration and finding the centroid

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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