Help doing a multiple variable boundary value ODE

So I have gone through a few how-to's on both multi-variable ode's and boundary value ode's but I cant seem to get a combination of both to work.

I am doing a conduction problem for a sphere. And I have the following equations:

Q= - 48 * pi * r2 * (dT/dr)

dQ/dr = d(r2 * (dT/dr))/dr = 0

T(.03)=120

T(.06)=100

I want to plot T(r), but I cant seem to get this to work. If any of you could help that would be fantastic, as there doesn't seem to be any relevant tutorials or guides online and I could really use some help!