A pseudopotential approach is used to analyse the propagation of ion-acoustic
waves in a plasma bounded by a cylindrical domain. The effect of the finite
geometry is displayed both analytically and numerically. The phase velocity of
the wave is determined and its variation is studied with respect to the plasma
parameters. It is observed that the pseudopotential shows a wide variation of
shape due to the imposition of a finite boundary condition. It is shown that
if the other parameters are kept within a certain range of values, then the
trapping of particles is favoured when the presence of the boundary is taken
into account.