a payout tube for insertion in a radial hole of a wound coil of filamentary material and the radial hole extending from the inner to the outer wind of the wound coil , the payout tube including an entrance and an exit opening in coaxial and spaced relationship with one another ; the size of the entrance opening is determined by the following : yc = 3 . 5 sin x / dm where dm is a diameter of the mandrel on which the coil of filamentary material is wound , x is the length along the circumference of the wind and yc is the substantially sinusoidal fig . 8 coil pattern ; yc ′= 3 . 5 dm cos x / dm ; at x = 0 ; yc ′= 3 . 5 / dm ; and the slope h of the coil pattern = tan − 1 = 23 . 629 degrees ; the length l of the opening is determined as : l = pto × dm × pi / 360 degrees ; where pto is the size of the entrance opening in degrees ; the width of the payout tube is w = l cos ; the size of the exit opening is determined as being a fixed amount of degrees less than the entrance opening ; and a flange member surrounding the exit opening for engaging a panel of a container retaining the wound coil .