Hersch's inequality

Hersch's inequality is a mathematical principle related to geometric shapes, specifically focusing on the relationship between the surface area and volume of a shape. It states that for given surface area, the sphere has the smallest volume among all possible shapes. In simpler terms, if you have a set amount of "skin" (surface area), the sphere will enclose the least amount of "air" (volume) compared to any other shape. This concept highlights the efficiency of the sphere in minimizing volume while maintaining surface area, illustrating a fundamental idea in geometry and optimization.