дан угол альфа между диагоналями развёртки боковой поверхности цилиндра и дана длина диагонали развёртки боковой поверхности b.Определи площадь полной поверхности цилиндра
To find the surface area of a cylinder, we need to use the formula A = 2πr(r+h), where r is the radius and h is the height. Since we are given the angle alpha and the diagonal length b, we can use some trigonometric calculations to find the radius and height of the cylinder. First, let's find the length of the diagonal formed by the two diagonals of the surface. We can use the Pythagorean theorem and substitute a diagonal with the given length of b and the angle alpha. This will give us the length of the diagonal formed by the two diagonals. Then, we can use this length to find the radius and height of the cylinder by using the tangent function. Once we have both values, we can substitute them into the formula for surface area to get the final result.
