Volume of a cylinder: V = π * r² * h, Base surface area of a cylinder: A_b = 2 * π * r², Lateral surface area of a cylinder: A_l = 2 * π * r * h, Total surface area of a cylinder: A = A_b + A_l, Longest diagonal of a cylinder: d² = 4 * r² + h², Surface-area-to-volume ratio of a cylinder: SA:V = A / V = 2 * (r + h) / (r * h)