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The Radiosity of a surface is the rate at which energy leaves that surface. It includes the energy emitted by a surface as well as the energy reflected. In this thesis, a spherical shaped interior space was designed on a spacecraft, which one day might land on Mars. The Radiosity model was used to determine the brightness inside the space. A global Galerkin method is used to solve the Radiosity Equation for several spherical shapes. This research is based on the study of the Radiosity Equation for occluded surfaces using the Collocation Method by Atkinson and Chein. The previous research was done on the Sphere, Perturbation of the Sphere, Ellipsoid and the Oval of Cassini. The convergence errors between true solutions and approximated numerical solutions for different reflectivity values and emissivity functions were presented.