Math 1338 Quiz #8 (Sec. 7.3) Name: ________________________________________________ Please show all work on this page. 1. Use the method of cylindrical shells to calculate the volume of the solid generated by the rotation about the y-axis of y = 2x, y = 0, x = 1, and x = 5. 2. Use the method of cylindrical shells to find the volume of the solid formed by revolving about the x-axis the region bounded by x = y2, x = 0, y = 1, and y = 4. A solid \"dog dish\" is obtained by rotating the region bounded by y = 0, y = x3, x = 0, and x = 1 about the yaxis. Find the volume of the dish using: 3. the washer method 4. the shell method