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This problem involves optimizing the dimensions of a cylindrical can to minimize the material used for its construction while maintaining a volume \( V \) liters.

### Let's break down the problem:

1. The **volume** of a cylinder is given by:
   \[
   V = \pi r^2 h
   \]
   where \( r \) is the radius and \( h \) is the height of the cylinder.

2. The

Se necesita crear una lata cilíndrica con tapa que pueda contener V litros de material, sin embargo, se necesita minimizar la cantidad de material utilizado en su construcción. ¿Cuáles deberían de ser las dimensiones de la lata?

This problem involves optimizing the dimensions of a cylindrical can to minimize material usage while maintaining a fixed volume of V liters. Learn how to apply geometry and calculus concepts to solve this optimization problem. Suitable for high school students.

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