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Volume of a Sphere by ssommer (2)

Volume of a Sphere by ssommer (2)
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2012-02-23 09:33
Solid GeometryGeometric Construction
This example demonstrates the volume of a sphere by changing its radius. Key mathematical concepts include the volume formula of a sphere and geometric construction. It uses Circle, Point, Ellipse, Segment, and other GeoGebra commands. Suitable for high school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Circle(A, r) → c
  2. Point(c) → B
  3. Point(c) → C
  4. Ellipse(B, C, D) → d
  5. Point(d) → G
  6. Point(c) → E
  7. Point(c) → F
  8. Point(c) → I
  9. Point(c) → M
  10. Segment(A, M) → radius

AI Drawing Prompt Reference

Draw a sphere by first creating a circle as the base, then select four points B, C, E, and F on the circle to draw an ellipse d. From the center of the circle, draw a line segment to a point G on the ellipse, which represents the radius of the sphere.
The prompt above was compiled from the original drawing commands and is for reference only.