Halfway between a Cylinder and a Cone (VIDEO!)

The volume of a cylinder is base x height and the volume of a cone is (1/3) base x height. (See geometry Formulas Explained video for that.) In this video I describe an object that is halfway between the two and has volume (1/2) base x height.

NOTE: I use calculus in this video, but one can also establish this result using the same methods as described in the cone video without calculus. That’s a challenge for you!

Cylinder/Cone

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  Written for educators - and their students too! - this website, slowly growing, takes all the content Tanton has developed in his books, videos, and workshops, and organizes it into short, self-contained, and complete, curriculum units proving that mathematics, at all points of the school curriculum, can be joyous, fresh, innovative, rich, deep-thinking, and devoid of any rote doing! Let's teach generations of students to be self-reliant thinkers, willing to flail and to use their common sense to "nut their way" through challenges, to assess and judge results, and to adjust actions to find success. (Great life skills!)

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• Books

  • Thinking Mathematics! (TEN VOLUMES)
  • Solve This: Mathematical Activities for Students and Clubs
  • Encyclopedia of Mathematics
  • Geometry I & II

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  Email: tanton.math@gmail.com