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Variable Radius Sphere

Variable Radius Sphere
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2016-06-06 05:46
Solid GeometryGeometric ConstructionSlider Animation
This example demonstrates a 3D sphere with a variable radius. Key mathematical concepts include the volume calculation of a sphere in solid geometry. Using GeoGebra commands such as Intersect, Sphere, and Volume, the size of the sphere can be dynamically adjusted. Suitable for high school and above students to learn solid geometry and dynamic geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, xAxis) → A
  2. Sphere(A, r) → Sphere
  3. Volume(Sphere) → volumea
  4. PointIn(Sphere) → Pointa_1
  5. Volume(Sphere) → b
  6. PointIn(Sphere) → Pointa

AI Drawing Prompt Reference

Draw a 3D sphere with a variable radius. Start by creating a point at the intersection of the coordinate axes as the center of the sphere, then use a slider to adjust the radius. Calculate the volume of the sphere. Finally, place a point randomly inside the sphere.
The prompt above was compiled from the original drawing commands and is for reference only.