6.2 Volumes using Cylindrical Shells
Objectives
By the end of this section, you will be able to:
- Use the shell method to find volumes of solids generated by revolving regions about the y-axis.
- Use the shell method to find volumes of solids generated by revolving regions about the x-axis.
- Use the shell method to find volumes of solids generated by revolving regions about given lines.
- Find volumes of solids of revolution using the washer and shell methods.. Compare methods for finding volumes of solids of revolution.
Readings and Lecture Videos
Print 6 slides per page or using your ipad to fill out the notes: 6.2 Volumes using Cylindrical Shells.pptx Download 6.2 Volumes using Cylindrical Shells.pptx
6.2 Volumes using Cylindrical Shells.pdf Download 6.2 Volumes using Cylindrical Shells.pdf
Watch this short video on how the formula for the shell method is derived:
https://www.youtube.com/watch?v=MNU5DT-CDrc
Links to an external site.
Checkpoint 1: https://mediaplayer.pearsoncmg.com/assets/teu14_sl_0602?clip=2 Links to an external site.
Checkpoint 2: https://mediaplayer.pearsoncmg.com/assets/teu14_sl_0602?clip=4 Links to an external site.