The equations are , .

Shell method:

Vertical axis of revolution.

The volume of the solid is .

The distance from the center of the rectangle to the axis of revolution is .

Find the limits of integration by solving points of intersection:

and .

and .

The height of the rectangle is .

Substitute , and in .

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Graph: 

If then and is symmetric about the line .

Thus, double integral of  from to to accurately find the volume.

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