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The Cone
Highlights of the activity
- This small group activity is designed to emphasize that there may be many integral representations of the same physical situation.
- Students work in small groups to determine the volume of a cone.
- The whole class wrap-up discussion emphasizes the equivalence of different approaches.
Reasons to spend class time on the activity
- Encourages students to think of several ways to solve the same problem.
- Encourages students to think about different ways of chopping and adding.
- Forces students to think about the order of integration, and the corresponding limits.
- Possible followup to The Cylinder.