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Volumes of Revolution

Volumes of Revolution
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2017-04-03 11:01
FunctionSolid GeometryCalculus
This example demonstrates the calculation of volumes of revolution. Key mathematical concepts include the volume formulas in calculus. Using GeoGebra commands such as CurveCartesian, Surface, and Sequence, the example constructs the shape of the solid of revolution. Suitable for high school math education and calculus students.

GeoGebra Commands & Parameters

  1. SelectedElement(list2) → f
  2. CurveCartesian(a, (f(a) * cos(α)), (f(a) * sin(α)), a, -5, 5) → aa
  3. Surface(a, (f(a) * cos(β)), (f(a) * sin(β)), a, min, max, β, 0, α) → b
  4. Sequence(Segment[(a, 0, 0), (a, (f(a) * cos(α)), (f(a) * sin(α)))], a, min, max, d) → list1