Maximal Cylinder in a Sphere

This example demonstrates the construction of the largest cylinder that can fit inside a sphere, exploring geometric relationships and optimization problems. It involves core mathematical concepts like solid geometry, volume calculation, definite integrals, and optimization. The construction uses GeoGebra commands such as Intersect, Sphere, Cylinder, and Polygon to visualize and interact with the geometric figures. Suitable for high school students and math enthusiasts studying spatial geometry and calculus applications.