The present paper is concerned with the solution to the problem of external free-convective flow from a sphere with various prescribed thermal conditions on the surface. Exact numerical solutions and heat-transfer results of the boundary-layer equations were obtained for the case of uniform surface temperature and the case of uniform surface heat flux, both at a Prandtl number of 0.70. Temperature and velocity profiles at various angular positions along the sphere surface and local heat-transfer results are presented. A comparison between the exact solution and the approximate solution from the integral method is also presented.