(Originais Teachy 2023) - Question Easy of Mathematics

A technology company is developing a new cone-shaped server to optimize data storage. The cone has a base radius R and height H, and its base is closed. In order to decorate the external surfaces of the cone with a special material of high density and resistance, the company needs to calculate the total area of coating required. Given the formula for the lateral area of the cone as π * R * g, where g is the generatrix of the cone, and considering that the base area is π * R^2, determine the total coating area, in terms of R and H, that the company will need to acquire to coat 2 identical servers. Disregard the overlapping area between the coatings of the cone bases.