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Use the method of cylindrical shells to find the volume of the solid found by revolving...

Use the method of cylindrical shells to find the volume of the solid found by revolving the region bounded by y=2x and y=x^2 about the y-axis.

For full credit, I expect to see the following: A graph of the bounded region between the two functions. A representative cylinder. Algebraic solutions for points of intersection. You won’t get full credit if you only write the points of intersection without showing the algebra. The set up for the integral(s). Anti-derivative(s). Work and/or verbal explanation of how to plug in the points. The final answer. Box your final answer.

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