Minimize Surface Area of a Cylinder

This example demonstrates how to dynamically adjust the radius and height of a cylinder using GeoGebra to minimize its surface area. It involves core mathematical concepts including solid geometry, optimization problems in calculus, and function extrema. The construction utilizes commands like Cylinder and Locus, along with objects such as r (radius), v (vector), h (height), SA (surface area), d, d_2, d_3, d_4, A, loc1, loc2, text1, and a. Suitable for high school students and above studying optimization problems in solid geometry or as an application of calculus.