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Calculus Level 4

Determine the volume of the solid obtained by rotating the region bounded by \(y=2\sqrt{x-1}\) and \(y=x-1\) about the line \(x=-1\).

If your answer comes in form of \(\dfrac{p \pi} {q}\), where \(p\) and \(q\) are co- prime integers, find the value of \(p-q\) .

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