MAT136H1 Lecture : 6.3 Volumes by Cylindrical Shells Question #1 (Easy)
92
MAT136H1 Full Course Notes
Verified Note
92 documents
Document Summary
Question #1 (easy): volume by cylindrical shells rotated about the y-axis. It is helpful to draw the graph and set of lines with the rotation line. Recalling the volume calculation by cylindrical shells: . Given set of functions define the interval [ ] for the integral, as well as which function denotes the of the cylindrical shells. Using cylindrical shells find the volume that is obtained by rotating the region bound by the curves about the -axis. Given the function and lines for the bound area, the interval for integration is [ ]. Using cylindrical shells, is then denoted by the function: , thus .
