Question

7. Consider the region bounded by y = r, y = 1 and 2 = 4. Set-up, but do not evaluate, integrals to find the following: (a) Area of region (b) Volume of solid obtained by rotating the region around the x-axis. (c) Volume of solid obtained by rotating the region around the y-axis. (d) Volume of solid obtained by rotating the region around the line y = 1. (e) Volume of solid obtained by rotating the region around the line <= 5.