Volume by Cross Section: Volume of the Cone

This Volume by Cross Section: Volume of the Cone interactive also includes:

Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone. Using both the integral formula and the geometric formula, learners calculate the volume of a cone and compare their answers.

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Instructional Ideas

  • Lead a discussion on the formula for the area of each cross section
Classroom Considerations

  • Requires users to sign up for a free login account
  • Class members need to know how to evaluate a definite integral
Pros

  • Displays the correct answer if students answer a question incorrectly
  • The interactive automatically performs the area calculations for the exploration
Cons

  • The additional material does not load