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Here's an AP Calculus resource that works an example problem of finding the volume where the cross sections of a solid are washer shaped. In the example the axis of rotation is vertical, creating horizontal washers.
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Instructional Ideas
- Use calculus visualization software to see the solid of rotation
Classroom Considerations
- Pupils should be able to graph conic sections
- Individuals need to know how to calculate definite integrals using a calculator
- This video is hosted on YouTube
Pros
- The presenter acknowledges when some integrals have not been formally introduced within the series
- The video shows that sometimes it is not worth the work to simplify an expression
Cons
- None