Volumes: Solids That are Not Solid of Revolution

Viewers learn how to calculate the volume when the cross section is not a circle by using the same principle as if it was a circle. The video goes through an example of finding the volume of a figure where the cross sections are squares with side lengths defined by a function. The procedure to find the volume is to integrate the area of the cross section.

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Instructional Ideas

  • Have the class determine the definite integral
  • Allow the pupils to create their own problems to solve in a similar fashion
Classroom Considerations

  • Individuals should be able to square a binomial
Pros

  • The presenter sketches a graph to better visualize what the problem is stating
  • The video is specifically made for an AP Calculus course
Cons

  • None