Accurate solutions for benchmarking purposes in two-dimensional axisymmetric enclosures with reflective surfaces have been obtained using the Monte Carlo method (MCM) based on the net exchange formulation (NEF). Previous applications of the MCM-NEF have been restricted to multidimensional problems with black boundaries or one-dimensional problems with gray boundaries. Here, the extension to multidimensional enclosures with gray boundaries is presented. The medium is a mixture of H 2 O, CO 2 , N 2 , and soot at atmospheric pressure, and its radiative properties are computed using the correlated k-distribution method. Predictions obtained using the discrete ordinates method are included, showing good agreement with the benchmark MCM=NEF solutions.