Maximum Volume of a Cylinder Inside a Cone

This example demonstrates the geometric problem of finding the cylinder with maximum volume inscribed inside a cone. It involves core math concepts like solid geometry, volume calculation, optimization, and derivative applications. The construction uses GeoGebra commands such as Point, Intersect, Cone, Cylinder, and Segment to build the geometric model and analyze variable relationships. Suitable for high school students and math enthusiasts studying spatial geometry and calculus-based optimization problems.