(Originais Teachy 2023) - Question Hard of Mathematics

A revolution cylinder is built from a rectangular sheet of cardboard, where one of the shorter sides of the sheet is glued to the opposite side of the same size, forming a base of the cylinder. The remaining ends of the rectangle are joined in such a way that the cylinder has a height equal to this shorter side. If the longer side of the rectangular sheet measures 24 cm and the shorter side measures 10 cm, calculate the distance between the farthest points of the two bases of the cylinder. Consider pi (π) as 3.14 and use the Pythagorean theorem to find the relationship between the base radius and the height of the cylinder.