Consider a finite spherical reactor of radius R surrounded by an infinite reflector. The core has uniform source distribution of S neutrons/cm³sec. The diffusion coefficient and macroscopic absorption cross section are , and ∑_a,c and D_c , respectively while the ones for the reflector are , and ∑_a,r and D_r , respectively. Please answer the following questions : 

a. Find the flux distribution in the core and reflector. 

b. Find the net leakage probability from the core.