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Volumes of Solids of Revolution by Mrs Rouse

Volumes of Solids of Revolution by Mrs Rouse
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2017-01-22 21:41
Solid GeometryCalculusGraphing
This example demonstrates the process of generating solids of revolution by rotating curves and calculating their volumes. Key math concepts include integral calculus, volume formulas for rotational solids, function graphing, and parametric equations. Constructed using GeoGebra commands like CurveCartesian for curves, Cylinder for solids, and Slider for animations. Suitable for high school and above students studying calculus, solid geometry, and geometric constructions.

GeoGebra Commands & Parameters

  1. CurveCartesian(t, t^(0.5), t, 0, 4) → a
  2. Cylinder(A, B, radius) → b, c, d, e
  3. CurveCartesian(t, (t^(0.5) * cos(α)), (t^(0.5) * sin(α)), t, 0, 4) → g