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Surface Area and Volume of a Sphere

Surface Area and Volume of a Sphere
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2020-04-01 03:53
Solid Geometry
This example demonstrates the calculation of the surface area and volume of a sphere. Key mathematical concepts include the geometric properties of a sphere, volume formula, and surface area formula. Using GeoGebra commands such as Circle, Point, Arc, Rotate, etc., the generation process and geometric properties of the sphere can be dynamically displayed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(P, R) → e
  2. Point(e) → B
  3. Arc(c, 3.141592653589793, 0) → f
  4. Rotate(c, 90*°, P) → d
  5. Rotate(R, 90*°, P) → D
  6. Rotate(L, 90*°, P) → E
  7. Arc(Rotate[c, 90*°, P], 3.141592653589793, 0) → g
  8. Segment(P, B) → a
  9. Midpoint(P, B) → C
  10. If(VolumeFormula ≟ 1, A) → I
  11. If(VolumeSolution ≟ 1, F) → J
  12. If(SurfaceAreaFormula ≟ 1, G) → K
  13. If(SurfaceAreaSolution ≟ 1, H) → M