The discussion focuses on calculating the total surface area of a cylinder using the formula A = 2πr² + 2πrh. Given the radius r = (4x + 2)/2 and height h = 2x, the equation is set equal to 182π to solve for x. After substituting r and h into the surface area formula, the resulting quadratic equation 16x² + 12x - 181 = 0 is derived. The participants discuss solving this quadratic to find the value of x, which is then used to determine the diameter of the cylinder. The calculations emphasize the importance of correctly applying geometric formulas in problem-solving.