Define R as the region bounded above by the function f(x) = 2x + 1 and below by g(x) = x + 1 between x = 0 and x = 2. If R is rotated around the line y = -1, what is the volume of the resulting solid? Submit an exact answer in terms of π.
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Define R as the region bounded above by the function f(x) = 2x + 1 and below by g(x) = x + 1 between x = 0 and x = 2. If R is rotated around the line y = -1, what is the volume of the resulting solid? Submit an exact answer in terms of π.