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Volume and Surface Area of a Cone

Volume and Surface Area of a Cone
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2014-11-19 21:44
TrigonometrySolid GeometryGeometric Construction
In collections Surface Area and Volume
This example demonstrates how the volume and surface area of a cone change by adjusting its base radius and height. Key mathematical concepts include the formulas for the volume and surface area of a cone. It uses GeoGebra commands such as Line, Ellipse, Intersect, Segment, LineBisector, Midpoint, and Angle for construction. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → C
  3. Ellipse(A, C, D) → c
  4. Intersect(c, a, 1) → E
  5. Intersect(c, a, 2) → F
  6. Segment(E, F) → b
  7. LineBisector(b) → d
  8. Point(d) → G
  9. Segment(E, G) → e
  10. Segment(G, F) → f
  11. Midpoint(b) → H
  12. Intersect(c, f, 1) → I
  13. Segment(H, I) → g
  14. Segment(G, H) → h
  15. Point(g) → J
  16. Angle(C, H, G) → α
  17. Segment(G, H) → j
  18. Segment(H, C) → l
  19. Segment(G, C) → m