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Cylinder Net and Dimensions Exploration

Cylinder Net and Dimensions Exploration
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2012-07-18 00:45
CircleSolid GeometryGeometric Construction
In collections Area, perimeter and volume of shapes Area, Perimeter and Volume of shapes
① This example shows the net of a cylinder and lets users change the radius and height to instantly compute surface area and volume. ② Core math concepts include solid geometry of cylinders, lateral surface unfolding, surface‑area and volume formulas. ③ Construction highlights: GeoGebra commands Point, Circle, Segment, Intersect, OrthogonalLine, Line create the base circle, segments, and orthogonal lines; objects such as radius and height serve as adjustable parameters. ④ Suitable for middle‑school geometry lessons, high‑school solid‑geometry review, and teachers building interactive instructional materials.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(A, radius) → c
  3. Segment(B, C) → a
  4. Circle(E, radius) → d
  5. Segment(C, E) → b
  6. Segment(E, D) → e
  7. Segment(D, B) → f
  8. Intersect(d, b, 1) → F
  9. Circle(F, radius) → g
  10. OrthogonalLine(F, b) → h
  11. Intersect(g, h, 2) → G
  12. Circle(G, radius) → k
  13. Intersect(c, xAxis, 2) → H
  14. Circle(H, radius) → p
  15. Intersect(p, f, 1) → I
  16. Point(yAxis) → J
  17. Circle(J, radius) → q
  18. Circle(K, radius) → r
  19. Point(r) → L
  20. Point(q) → M
  21. Segment(L, M) → i
  22. Line(K, L) → j
  23. Line(J, M) → l
  24. Intersect(r, j, 2) → N
  25. Intersect(q, l, 2) → O
  26. Segment(N, O) → m
  27. Segment(I, H) → n
  28. Segment(G, F) → t