I can compute the volume ofo solid. ofknown cross section by slices and by cylindrical shells Note: Be sure to read the requirements below the statement of the questions 1. Consider the region 96 bounded by the graph ofy 2 5} and the lines 3/ = 0, x = 1, and x = 5. (a) Find the volume generated when the region 96 is rotated about the x-axis. (b) Find the volume generated when the region 96 is rotated about the y-axis. (c) Find the volume generated when the region 96 is rotated about the line 3: = 10 Notes: Your work for each part must show a clear picture of the region with the representative rectan- gle that generates the volume element. (You don't need to show the volume element, just the representative rectangle.) Draw a separate diagram for each case. ' Your work must clearly show the relevant distances for determining the volume of each volume element. Do this for each case' Make sure your diagrams are large enough that these distances are easily resolved