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Interactive Exploration of Cylinder Surface Area and Volume

Interactive Exploration of Cylinder Surface Area and Volume
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2016-05-28 21:56
CircleSolid GeometryGeometric ConstructionSlider Animation
This applet demonstrates the relationship between cylinder dimensions and its surface area and volume. Key concepts include geometric properties of cylinders, surface area formulas, and volume calculations. Construction utilizes GeoGebra commands such as Circle, Point, Tangent, OrthogonalLine, and Segment to model the cylinder and its net. It is designed for middle school students learning solid geometry or teachers for classroom visualization, facilitating understanding of spatial figures and mathematical formulas through interactive sliders.

GeoGebra Commands & Parameters

  1. Circle(A, r) → c
  2. Point(c) → B
  3. Tangent(B, c) → f,
  4. OrthogonalLine(B, f) → g
  5. Point(Circle[B, h]) → C
  6. Segment(B, C) → i
  7. Point(Circle[B, ((2 * π) * r)]) → D
  8. Segment(B, D) → j
  9. Point(Circle[C, ((2 * π) * r)]) → E
  10. Segment(C, E) → k
  11. Segment(E, D) → l
  12. Segment(A, B) → m
  13. Point(Circle[E, r]) → F
  14. Segment(E, F) → n
  15. Circle(F, E) → d
  16. Name(i) → A1
  17. Name(j) → B1
  18. Name(m) → C1