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Volume of a Sphere by KruPongsak Wuttisant _TH

Volume of a Sphere by KruPongsak Wuttisant _TH
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2019-03-21 10:53
Solid GeometryGeometric Construction
This example demonstrates the calculation of a sphere's volume. Key mathematical concepts include the volume formula for a sphere. Construction highlights include the use of intersection, circle, plane, and line commands in GeoGebra. Suitable for high school math education or students learning solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(zAxis) → B
  3. Cylinder(A, B, 3) → a, c, d, b
  4. Point(zAxis) → C
  5. Segment(A, C) → f
  6. Segment(D, C) → g
  7. Point(g) → E
  8. Sphere(E, 3) → e
  9. If(i ≤ 0, F + (0, 0, 0), F + (0, 0, j)) → G
  10. Cylinder(A, G, 3) → k, p, q, l
  11. Circle(F, 3, zAxis) → r
  12. Point(zAxis) → H
  13. Circle(H, 3, zAxis) → s
  14. Plane(I, J, K) → m
  15. Segment(M, L) → n
  16. Segment(B, M) → t
  17. Intersect(t, d) → N,
  18. Segment(B, N) → f_1
  19. Line(E, f_1) → g_1
  20. Intersect(g_1, e, 2) → O
  21. Segment(E, O) → h_1