6. (18 Points) a. (9 Points) Setup the integral(s) that represent the volume of the solid generated when the region bounded by e? = 4+ 1 and (x+ 2)3 = 5y + 15 is revolved about the line = 2. Express the integral(s) with respect to @, Clearly and completely show all steps of your solution. i b. (9 Points) The base of a solid is the region bounded by the ellipse 42 + 9y = 36. The cross-sections perpendicular to the r-axis are 30-60-90 triangles with the longer leg at the base. Setup the integral(s) that represent the volume of the solid. Clearly and completely show all steps of your solution. s Problem 6: Volume 1. . State the thickness of the slice. . In a separate picture, rotate the slice and state the appropriate method (disk, washer, or shell). = Wb [ Draw a slice in the region and state the length of the slice. . In the second picture, label and state the expression of all radial distances. . State the integral that evaluates the volume of a solid using the general slicing method. Clearly and completely explain what all the terms (including the differential) in the integrand represent. . State the integral that evaluates the volume of a solid using the disk method. Clearly and completely explain what all the terms (including the differential) in the integrand represent. . State the integral that evaluates the volume of a solid using the washer method. Clearly and completely explain what all the terms (including the differential) in the integrand represent. . State the integral that evaluates the volume of a solid using the shell method. Clearly and completely explain what all the terms (including the differential) in the integrand represent