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Disc method: revolving around other axes

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Let R be the region enclosed by the line x, equals, 1, the line y, equals, 2, the line y, equals, 4, and the curve y, equals, left parenthesis, x, minus, 1, right parenthesis, squared.
A solid is generated by rotating R about the line x, equals, 1.
What is the volume of the solid?
Give an exact answer in terms of pi.