The answer is so fascinating that Aristotle wanted it on his tombstone. The answer is that the lateral surface area of a cylinder with length L is the circumference of the cylinder times the length or 2*pi*r*L or 2*pi*(L/2)*L or pi*L^2 and the surface area of a sphere of diameter L is 4*pi*(L/2)^2 or pi*L^2 which is the same as the cylinder formula.