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Volume of Cylinder by Dr.Lakshman Chaudhari

Volume of Cylinder by Dr.Lakshman Chaudhari
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2016-02-23 13:06
Coordinate GeometrySolid GeometryCalculus
This example demonstrates how to calculate the volume of a cylinder using geometric transformations and coordinate geometry. Key mathematical concepts include the volume formula of a cylinder, geometric transformations, and coordinate geometry. It utilizes commands such as Intersect, Vector, Translate, Segment, Arc, Polygon, Root, and Midpoint in GeoGebra.

GeoGebra Commands & Parameters

  1. Intersect(c, xAxis, 1) → A
  2. Intersect(c, xAxis, 2) → B
  3. Vector((-17, 0), (-17, b)) → u
  4. Translate(c, u) → d
  5. Translate(A, u) → C
  6. Translate(B, u) → D
  7. Segment(A, C) → e
  8. Segment(B, D) → f
  9. Arc(c, A, B) → g
  10. Polygon(C, D, B, A) → P, c_1, d_1, b_1, a_1
  11. Intersect(xAxis, yAxis) → E
  12. Segment(E, B) → h
  13. Translate(E, u) → E'
  14. Translate(B, u) → B'
  15. Segment(E', B') → i
  16. Root(32) → F
  17. Midpoint(i) → G
  18. Midpoint(e) → H