Answer: Suppose that a region has area and lies above the -axis. When is rotated about

Chapter 6, Problem 54

(choose chapter or problem)

Suppose that a region has area and lies above the -axis. When is rotated about the -axis, it sweeps out a solid with volume . When is rotated about the line (where is a positive number), it sweeps out a solid with volume . Express in terms of , , and .

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