The region in the first quadrant bounded by the graphs of y=x and y=(x^2)/(2) is rotated around the


Question: The region in the first quadrant bounded by the graphs of \(y=x\) and \(y=\frac{{{x}^{2}}}{2}\) is rotated around the line y = x. Find

(a) the centroid of the region and

(b) the volume of the solid of revolution.

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