This study deals with the modelling of migration of volatile compounds from wooden packaging into spherical foods. Both analytical and numerical methods were applied to solve partial differential equations for radial diffusion in a spherical shaped food. A computer program was developed to solve finite difference equations for the diffusion problem. A mathematical dimensionless model was obtained and then validated experimentally. Acetic acid was chosen as the volatile compound for this work, as it appears in different species of poplar trees which are widely used in wooden packaging industries. The diffusion coefficient of acetic acid in simulated food was determined as required experimental data for the model validation. The partition coefficient of acetic acid between package and air and also between air and agar gel was determined Head space gas chromatography was used to determine the kinetics of acetic acid migration through a spherical food. Acetic acid concentration was measured at different times and positions of a spherical food analog and compared with the model.