The effects of spatially varying absorption and scattering coefficients on radiation transfer in absorbing, emitting, anisotropically scattering hollow cylinders with reflecting boundaries were investigated using the discrete ordinates method (DOM) by Tsai et al. [Int. J. Heat Mass Transfer 33 (1990) 2651]. Their problem solutions for hollow cylinder cases are incorrect. The cause of this inaccuracies are identified and the correct solutions obtained using DOM S-6 are provided.