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Volume Comparison of Cylinder and Cone

Volume Comparison of Cylinder and Cone
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2018-09-11 19:36
Solid GeometryGeometric Construction
This example demonstrates the volume comparison of a cylinder and a cone. Key mathematical concepts include volume formulas, geometric construction, and coordinate geometry. Using GeoGebra commands such as Point, Circle, Cylinder, Area, Vector, Translate, and Cone, the relationship between the volumes of a cylinder and a cone is visually illustrated. Suitable for middle school and above students to learn geometry and volume calculation.

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'