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Volume of a Sphere by ssommer

Volume of a Sphere by ssommer
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2012-02-24 02:42
FunctionSolid GeometryGeometric Construction
This example demonstrates how the volume of a sphere changes by adjusting its radius. Key mathematical concepts include the volume formula of a sphere. It uses commands such as Segment, Circle, Intersect, Point, and Ellipse in GeoGebra. Suitable for middle and high school mathematics education.

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