Cylinder Construction and Volume Calculation by D.Jayaseelan (2)

Cylinder Construction and Volume Calculation by D.Jayaseelan (2)
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2016-09-30 13:14
①This example demonstrates how to construct a 3D cylinder in GeoGebra using points, segments, and the Cylinder command, while computing its volume in real time. ②Core mathematical concepts include the geometric definition of a cylinder (circular base, height, generatrix), the volume formula V=πr²h, and the relationships among basic solid geometry elements (points, segments, circles). ③Construction highlights: from the summary, the Cylinder command generates the solid, Point defines key points A, B, C, D, Segment creates segments d, c, e serving as radius or height, Volume computes the volume, and objects r (radius), h (height), b (base) are involved. ④Suitable for middle school or high school geometry lessons, helping students intuitively understand cylinder parameters and volume, and allowing dynamic adjustment of radius and height to observe volume changes.

GeoGebra Commands & Parameters

  1. Cylinder(A, B, 2) → d, c, e, Cyliner
  2. Point(c) → C
  3. Segment(A, C) → r
  4. Segment(A, B) → h
  5. Volume(d) → b
  6. Volume(d) → Volume
  7. Point(e) → D
  8. Segment(B, D) → radius