Cylinder Volume Maximization Optimization

This example demonstrates how to maximize the volume of a cylinder by adjusting its base radius and height. It involves core mathematical concepts such as functions, derivatives in calculus, and optimization. The construction uses GeoGebra commands like If, Point, Cylinder, Locus, and objects like r, sa, v, posvol, h, a, text1, A, b, c, d, e, B, C, loc1. It is suitable for high school and above students studying solid geometry and calculus optimization, or for mathematical teaching demonstrations.