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The Cone
Keywords:
Multivariable Calculus, Multiple Integral, Volume Integral
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
.
Reflections
Reflections from the original implementation.
Reflections from "official" adapters/adopters.
Reflections from the general public.
Instructor's Guide
Wiki version
Student Handouts
mvconehand.pdf
Authors:
Tevian Dray
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