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Sphere Cross-Section Comparison by Cheryl Lynch

Sphere Cross-Section Comparison by Cheryl Lynch
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2015-09-09 05:51
FunctionSolid GeometryGeometric Construction
This example demonstrates comparing cross-sections of a sphere, cone, and cylinder by slicing them with different planes. It involves core math concepts like solid geometry, cross-sectional geometry, and volume calculation. Construction highlights include commands like OrthogonalLine, Circle, Vector, Translate, Sphere, Cylinder, Point, OrthogonalPlane, IntersectPath, and Cone. Suitable for high school students and math enthusiasts exploring 3D shapes and their geometric properties.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xOyPlane) → a
  2. Circle(A, 2, a) → c
  3. Vector(A, B) → u
  4. Translate(c, u) → c'
  5. Sphere(A, 2) → b
  6. Cylinder(B, D, 2) → d, e, f, g
  7. OrthogonalLine(F, xOyPlane) → j
  8. Point(j) → G
  9. OrthogonalPlane(G, j) → l
  10. IntersectPath(l, b) → q
  11. IntersectPath(l, d) → r
  12. Vector(A, E) → v
  13. Translate(c, v) → c'_1
  14. Cone(E, C, 2) → h, k, i
  15. IntersectPath(l, h) → p
  16. Corner(p)
  17. Vector(F, G) → w