An analysis of low-frequency (drift and sound) waves in a spatially bounded plasma is presented. The plasma has a radial density gradient and flows along the magnetic field lines with a radially bell-shaped flow profile. An equation for the radially dependent wave amplitude is derived and solved analytically for a class of density and flow profiles. The solutions represent global modes that are twisted around magnetic lines and vanish at the plasma axis and at the boundary. (C) 2005 American Institute of Physics.