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9-80.

Write the integral that calculates the volume generated when the region bounded by and is rotated: Homework Help ✎

Sketch the region and determine the points of intersection.

  1. About the -axis.

    The outside radius (R) is the curve . The inside radius (r) is the curve . This will be a "" integral, so make sure your radii expressions are in terms of .

  2. About the -axis.

    Identify which curve will be the outside radius and which curve will be the inside radius. This will be a "" integral, so make sure your radii expressions are in terms of .

  3. About the line .

    Since is a vertical line, this will be similar to part (b). This time the outside radius will be and the inside radius will be .