Hello, i need help with this study guide. Please show all work so i can review these couple of problems before my exam soon. Thank you and have a great rest of your day.

6. Find the volume of the solid obtained by rotating the region bounded by y = x2, and x = yz about y = 1. 7. Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y = x2 and y = 6x - 2x2 about the y-axis. 8. Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y = 4x - x2 and y = 3 about x = 1