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 Okay, so let’s see the shell method in action to make sense of this new...
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...
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....
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...
Find the volume of the solid generated by revolving the region bounded by the curves {eq}y = x^3 {/eq}, {eq}y = 0 {/eq} and {eq}x = 4 {/eq} by disk washer and shell method. }] about the y-axis. ...