Calculus › Section H · Applications of integrals › Topic H.2
Volume by disks and washers
Rotate a flat region around a line and it sweeps out a solid: a cone, a vase, a bowl. Slice that solid into thin disks or washers, and each such volume becomes one short integral.
In this topic
- Solids as a stack of slices
- Cross-sections of known shape
- The disk method
- Worked example: a cone
- Worked example: a paraboloid
- The washer method
- Worked example: washers
- Rotating about other lines
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…
Standards: 8