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Volume Comparison Between Cylinder and Cone by Patricia Loy

Volume Comparison Between Cylinder and Cone by Patricia Loy
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2015-04-22 06:00
Solid GeometryGeometric Construction
This example demonstrates the dynamic comparison of volumes between a cylinder and a cone. It involves core math concepts like volume formulas and geometric properties. Constructed using GeoGebra commands such as Intersect, Circle, Point, Segment, Cylinder, Cone, Distance, Volume, and PointIn to create the shapes and calculate volumes. Suitable for middle school students and above learning solid geometry volume, or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, Radius) → c
  3. Point(c) → B
  4. Segment(A, B) → a
  5. Point(zAxis) → C
  6. Cylinder(A, C, Radius) → Cylinder, d, e, f
  7. Cone(A, C, Radius) → Cone, h, i
  8. Distance(A, C) → distanceAHeight
  9. Volume(Cylinder) → volumeb
  10. PointIn(f) → Pointf
  11. Volume(Cone) → volumeg
  12. PointIn(xOyPlane) → PointxOyPlane_1
  13. Volume(Cone) → j
  14. PointIn(xOyPlane) → PointxOyPlane_2
  15. Volume(Cone) → k
  16. PointIn(xOyPlane) → PointxOyPlane_3
  17. Volume(Cone) → l
  18. PointIn(xOyPlane) → PointxOyPlane
  19. Volume(Cone) → m
  20. PointIn(i) → Pointi
  21. Segment(A, C) → Height