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Volume Comparison of Cylinder and Cone by David Ramsay

Volume Comparison of Cylinder and Cone by David Ramsay
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2015-10-12 09:40
Solid Geometry
In collections Investigating Volume
This example demonstrates the comparison of volumes of a cylinder and a cone. Key mathematical concepts include the volume formulas for cylinders and cones. Using GeoGebra commands such as Point, Circle, Cylinder, Area, Vector, Translate, Cone, Segment, Circumference, PointIn, and Volume, the volume changes can be visually demonstrated. Suitable for middle school and above students to learn geometry and volume calculations.

GeoGebra Commands & Parameters

  1. Point({r, 0, 0}) → B
  2. Circle(zAxis, B) → c
  3. Cylinder(c, h) → a, d, b
  4. Area(c) → e
  5. Point({0, t, 0}) → A
  6. Point({0, 0, 0}) → O
  7. Vector(O, A) → u
  8. Translate(c, u) → d'
  9. Cone(d', h) → f, g, i
  10. Segment(O, B) → j
  11. Circumference(d) → circumferenced
  12. PointIn(d) → Pointd
  13. Circumference(d') → circumferenced'
  14. PointIn(d') → Pointd'
  15. Volume(a) → volumea
  16. PointIn(b) → Pointb
  17. Volume(f) → volumef
  18. PointIn(i) → Pointi
  19. Translate(C, u) → C'