Surface of Revolution by Keith Hatfield
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This example demonstrates how to generate a 3D surface of revolution by rotating a 2D curve. It involves core mathematical concepts like rotational geometry, surface generation in calculus, and parametric equations. Constructed using GeoGebra's Surface command with objects g, b, a, f, t, c defining the curve and parameters. Suitable for high school and above students learning solid geometry and calculus, or for educational demonstrations.
GeoGebra Commands & Parameters
Surface(v, (f(v) * cos(u)), (f(v) * sin(u)), v, a, b, u, 0, t) → c