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Sphere Inside Cone

Sphere Inside Cone
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2017-04-27 22:22
Solid GeometryGeometric Construction
This example demonstrates the geometric phenomenon of a sphere inscribed in a cone. Key mathematical concepts include the properties of cones and spheres. Using GeoGebra commands such as Point, Intersect, Sphere, and Cone, the model of a sphere inscribed in a cone is constructed. Suitable for high school geometry, it helps students understand spatial relationships in solid geometry.

GeoGebra Commands & Parameters

  1. Point(zAxis) → A
  2. Intersect(zAxis, xOyPlane) → B
  3. Sphere(A, B) → a
  4. Intersect(yAxis, zAxis) → D
  5. Point(zAxis) → C
  6. Cone(B, C, 2) → b, c, d
  7. Point(c) → E
  8. Segment(C, E) → f
  9. Segment(E, C) → g
  10. OrthogonalLine(A, f, space) → h
  11. Segment(A, B) → AD
  12. Segment(B, E) → DE
  13. Intersect(h, f) → F
  14. Segment(A, F) → AF
  15. Segment(A, E) → AE