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Small Spherical Volumes

Small Spherical Volumes
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2015-11-03 10:06
Solid GeometryCalculus
This example demonstrates the calculation of small spherical volumes. Key mathematical concepts include the formula for the volume of a sphere and the volume of a solid of revolution. Using GeoGebra commands such as Segment and CircleArc, the example shows how to calculate the volume of a sphere through integration. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Segment(A, C) → a
  2. Segment(B, D) → b
  3. Segment(A', C') → c
  4. Segment(B', D') → d
  5. Segment(O, D) → e
  6. Segment(O, C) → f
  7. Segment(O, D') → g
  8. Segment(O, C') → h
  9. CircleArc(O, A, B) → k
  10. CircleArc(O, C, D) → p
  11. CircleArc(O, A', B') → q
  12. CircleArc(O, C', D') → r
  13. CircleArc(O, A', A) → s
  14. CircleArc(O, B', B) → t
  15. CircleArc(O, D', D) → c_1
  16. CircleArc(O, C', C) → d_1