Calculus › Section H · Applications of integrals › Topic H.3
Volume by cylindrical shells
Disks and washers slice a solid of revolution perpendicular to the axis. Cylindrical shells slice it the other way, peeling the solid into thin layers like the paper on a roll of towels, and they often turn a nasty integral into an easy one.
In this topic
- A roll of paper towels
- Unrolling one shell
- Radius and height, in general
- Worked example: about the y-axis
- Worked example: about a shifted vertical line
- Horizontal shells
- Choosing shells or washers
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…
Standards: Beyond AP