Volumes of solids of revolution (disk and shell methods)

What this note covers

1. Conceptual foundations: what is a solid of revolution?
2. The disk method: rotation about the x-axis
3. The washer method: rotation leaving a hole
4. Rotation about the y-axis: disk and washer formulations
5. The cylindrical shell method
6. Choosing between disk/washer and shell methods
7. Technology-free techniques and key integral evaluations

7 sections · 12 key terms & formulas · 6 common mistakes