A rectangle rotated about its edge produces a cylinder. H - height of a cylinder, r - radius of a base (circle). Volume of a cylinder: V = πr^2H. The surface of cylinder can split up into two circle and rectangle with edges which length is 2πr i H. Base area: A_b = πr^2. Lateral surface area: A_l = 2πrH. Surface: S = 2A_b + A_l = 2πr^2 + 2πrH. The cross section through its axis is a rectangle. k - axis of a cylinder.