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Surface of Revolution - Disk 1.2

Surface of Revolution - Disk 1.2
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2017-07-20 04:30
Solid GeometryCalculusParametric EquationGeometric ConstructionGraphing
This example demonstrates the generation of a surface of revolution using the disk method, visually illustrating the geometric shape formed by rotating a curve around an axis. Core mathematical concepts include surfaces of revolution, the disk method, parametric equations, and integral concepts from calculus. Construction highlights involve GeoGebra commands/objects like Point, Intersect, Surface, Segment, and CircumcircleSector. Suitable for high school students and above studying surface geometry, calculus applications, and spatial visualization.

GeoGebra Commands & Parameters

  1. Point(xAxis) → I
  2. Intersect(yAxis, xAxis) → O
  3. Surface(f, angTrace) → s
  4. Segment(B, C) → g
  5. Segment(A, D) → h
  6. CircumcircleSector(C, F, E) → c
  7. CircumcircleSector(D, G, H) → d