Navigate to course home page

The Cone

Keywords: Multivariable Calculus, Multiple Integral, Volume Integral

mvcone.jpg

Highlights of the activity

  1. This small group activity is designed to emphasize that there may be many integral representations of the same physical situation.
  2. Students work in small groups to determine the volume of a cone.
  3. 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

Instructor's Guide

Student Handouts

mvconehand.pdf


Authors: Tevian Dray
To edit this page, go here


Personal Tools