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Cylinder and Cone Volume Animation

Cylinder and Cone Volume Animation
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2017-04-04 09:14
Solid GeometryGeometric Construction
This example demonstrates the volume changes of cylinders and cones. Key mathematical concepts include volume formulas and geometric transformations. Using GeoGebra commands such as Intersect, Point, Cylinder, Cone, and Volume, the user can dynamically adjust the base radius and height to observe the volume changes. Suitable for middle and high school students learning geometry and volume calculations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → A
  2. Point(zAxis) → B
  3. Cylinder(A, B, 3) → d, d_2, d_3, d_4
  4. Cone(A, B, 3) → a, c, b
  5. Volume(d) → volumed
  6. PointIn(d_4) → Pointd4_1
  7. Volume(d) → e
  8. PointIn(d_4) → Pointd4_2
  9. Volume(a) → volumea
  10. PointIn(xOyPlane) → PointxOyPlane
  11. Volume(d) → f
  12. PointIn(d_4) → Pointd4