Cylinder Inside Sphere

Cylinder Inside Sphere
Loading the math board and drawing, please wait…
2020-01-22 12:57
This example demonstrates the geometric relationship of constructing a cylinder inside a sphere. The core math concepts involve solid geometry, spatial geometric relationships, and the intersection between a cylinder and a sphere. Key construction points using GeoGebra commands/objects include Intersect, Sphere, Point, Mirror, OrthogonalPlane, IntersectPath, Distance, Cylinder, Volume, and PointIn. Suitable for high school solid geometry learning or introductory mathematical modeling.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, xAxis) → A
  2. Sphere(A, 1) → Sphere
  3. Point(zAxis) → B
  4. Mirror(B, xOyPlane) → B'
  5. OrthogonalPlane(B, zAxis) → p
  6. IntersectPath(p, Sphere) → c
  7. Point(c) → C
  8. Distance(B, C) → distanceBC
  9. Cylinder(B, B', distanceBC) → b, d, e, f
  10. Volume(Sphere) → volumeSphere
  11. Volume(Sphere) → a
  12. PointIn(Sphere) → PointSphere_2
  13. Volume(Sphere) → g
  14. Volume(Sphere) → h
  15. Volume(b) → volumeb
  16. PointIn(f) → Pointf
  17. Distance(B, A) → distanceBA