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A Matlab-based computational procedure is proposed to fill a given volumewith spheres whose radii are randomly picked from any specified probabilitydistribution supported by \verb|Matlab|. The general program sequence andexamples of filling a unit cube, a parallelepiped, and a concave domain betweentwo hemispherical surfaces, with spheres whose radii are drawn from the Weibulland Gamma distributions, are presented. A sample application to the numericalmodeling of bond formation between particles heated by a laser beam in powderbed 3D printing process is considered.

A Method for Random Packing of Spheres with Application to Bonding Modeling in Powder Bed 3D Printing Process