The Shell Method vs Disk Method (Y-Axis) For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution. Example
Question: 10. Use the disk/washer OR the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given line. Include a sketch of the graph of the regions. List which...
Answer to: Consider the region bounded by y=x-x^2 and y=0 rotated along the y-axis. Solve using either the disk, washer, or shell method. By...
However, as we learned above, if we rotate a cubic (or higher power of xx) around the yy axis, we can't use disk (or washer) method, since it's hard (or impossible) to re-express the function in terms of yy only. In this case, we need to use Shell Method....