Surface of Revolution by Surya Magar
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This example demonstrates the generation of a sphere as a surface of revolution. Key math concepts include calculus, surface generation, definite integral, and 3D vectors. Construction highlights involve using the Surface command for the rotating surface, CurveCartesian for the generating curve, and parameters a, b, c, d for shape control, with text1 for annotations and e as an auxiliary object. Suitable for high school students and math enthusiasts studying surface geometry and calculus applications.
GeoGebra Commands & Parameters
Surface((-cos(u)), (sin(u) * sin(v)), (sin(u) * cos(v)), u, 0, a, v, 0, b) → cCurveCartesian((-cos(u)), 0, sin(u), u, 0, a) → dCurveCartesian((-cos(u)), sin(u), u, 0, a) → e