The induced temperature, displacement, and stress fields in an infinite nonhomoge neous viscoelastic aeolotropic solid having a spherical cavity are obtained. The medium considered is heated by a distributed heat source in such a way that the flux changes exponentially in the radial direction. The type of nonhomogeneity is such that the elastic constants and the coefficient of linear thermal expansion are proportional to the nth power of the radial distance. The viscoelastic nature of the material is characterized by a model where the elastic constants are replaced by appropriate differential operators. The problem is solved analytically employing the integral transform technique. Numeri cal values of the field quantities at different points of the medium at different instants of time are computed for an exemplary case.