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Sphere in a Cylinder by Ted Coe

Sphere in a Cylinder by Ted Coe
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2014-09-26 02:55
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates a sphere inside a cylinder, focusing on the concept of a sphere's volume. Using GeoGebra commands such as Sphere, Circle, and Intersect, users can dynamically explore the position and volume changes of the sphere within the cylinder. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Sphere((0, 0, 0), 1) → a
  2. Circle((0, 0, 0), 1, space) → c
  3. Intersect(xAxis, yAxis) → A
  4. Circle(A, B) → d
  5. Cylinder(d, 1) → b, e, f
  6. Cylinder(d, -1) → g, h_1, i
  7. CurveCartesian(cos(t), sin(t), h, t, 0, 6.29) → j
  8. Point(j) → C
  9. Point(j) → D
  10. Point(j) → E
  11. Circle(C, D, E) → k
  12. CurveCartesian(2 + cos(t), sin(t), 1, t, 0, 6.29) → l
  13. Point(l) → F
  14. Point(l) → G
  15. Point(l) → H
  16. Circle(H, F, G) → p
  17. Cone(p, -1) → m, q, n
  18. CurveCartesian(2 + (h * cos(t)), (h * sin(t)), h, t, 0, 6.29) → o
  19. Point(o) → I
  20. Point(o) → J
  21. Point(o) → K
  22. Circle(I, J, K) → r