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3D Cone & Net

3D Cone & Net
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2012-10-31 04:32
TrigonometryCoordinate GeometrySolid GeometryGeometric Construction
In collections Geo&Alg:Area Volume Pythagorean Th.
This example demonstrates the 3D shape of a cone and its net (a sector). It involves core math concepts like area, volume calculation, coordinate geometry, trigonometric functions, and quadratic functions. Construction uses commands such as Circle, Point, Segment, Intersect, CircleArc, Circumference, and LaTeX. Suitable for high school geometry and function application learning.

GeoGebra Commands & Parameters

  1. Circle(Center, r) → c
  2. Point(Circle[Center, r + slant]) → B
  3. Segment(Center, B) → a
  4. Intersect(c, a) → C,
  5. Circle(B, slant) → d
  6. Point(d) → D
  7. Point(d) → E
  8. CircleArc(B, D, E) → Arc
  9. Segment(D, B) → b
  10. Segment(B, E) → s
  11. Circumference(c) → circumferencec
  12. LaTeX(3.141592653589793 * r^(2) * h / 3) → text2
  13. LaTeX(3.141592653589793 * r^(2) + 3.141592653589793 * r * slant) → text3
  14. Segment(C, Center) → radius
  15. LaTeX(h) → text4
  16. LaTeX(r) → text5
  17. LaTeX(s) → text6