Surface of Revolution 2

Surface of Revolution 2
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2015-06-09 16:20
This example demonstrates the generation of a surface of revolution by rotating a curve and applying vector concepts. Key mathematical concepts include surface construction, vector operations, and parameterization. The construction involves GeoGebra commands like Surface, CurveCartesian with objects f, t, a, b. Suitable for high school students or college freshmen learning geometry and calculus fundamentals.

GeoGebra Commands & Parameters

  1. Surface(u, (f(u) * cos(v°)), (f(u) * sin(v°)), u, 0, 3, v, 0, t) → a
  2. CurveCartesian(u, (f(u) * cos(t°)), (f(u) * sin(t°)), u, 0, 3) → b