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Sphere Volume Demonstration by kadhem ghazouani

Sphere Volume Demonstration by kadhem ghazouani
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2016-01-20 21:46
Solid GeometryCalculusGeometric Construction
This example visually demonstrates how the volume of a sphere changes with its radius by allowing interactive adjustment. Key math concepts include the sphere volume formula, integral calculus, and geometric symmetry. GeoGebra commands like Segment, Circle, Intersect, Point, and Ellipse are used in its construction. Ideal for high school students and math enthusiasts to grasp volume calculations and geometric intuition.

GeoGebra Commands & Parameters

  1. Segment(B, A) → h
  2. Circle(B, D) → e
  3. Circle(A, Radius[e]) → f
  4. Intersect(e, f, 1) → E
  5. Intersect(e, f, 2) → F
  6. Segment(E, F) → b
  7. Intersect(h, b) → G
  8. Circle(G, r) → g
  9. Point(g) → K
  10. Point(g) → Hemisphere
  11. Ellipse(K, Hemisphere, M) → k
  12. Point(g) → N
  13. Segment(G, N) → radius