Define Q as the region bounded by the functions u(y) = 1 - 2y and v(y) = y^2 + 1 between y = -2 and y = 0. If Q is rotated around the line x = 1, what is the volume of the resulting solid? Submit an exact answer in terms of π.
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Define Q as the region bounded by the functions u(y) = 1 - 2y and v(y) = y^2 + 1 between y = -2 and y = 0. If Q is rotated around the line x = 1, what is the volume of the resulting solid? Submit an exact answer in terms of π.
