Problem 9. Let R be the region bounded by the curves x = 6y, y = 1, x = 0. The volume of the solid obtained by rotating the region R about the y-axis can be computed using the method of disks via an...

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Extracted text: Problem 9. Let R be the region bounded by the curves x = 6y, y = 1, x = 0. The volume of the solid obtained by rotating the region R about the y-axis can be computed using the method of disks via an integral with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = with limits of integration a = and B = In either case, the volume is V = cubic units.