Rotate the region bounded by the graphs of the functions f(x) = 2x2 - 2, g(x) = 2 - 2x2 and the vertical lines x = 0 and x = 1 about the y-axis to form a solid of revolution. Notice that this is the same region as used in questions 5 and 6. Use the method of cylindrical shells to calculate its volume. Rotate the region bounded by the graphs of the functions f (x) = 2x2-2, g (x) = 2-2x2 and the vertical lines x=0 and x=1 about the y-axis to form a solid of revolution. Notice that this is the same region as used in question 5. Use the method of cross-sections (also called slices) to calculate its volume.
