Chapter 2, Problem 32P

Consider a medium in which the heat conduction equation is given in its simplest form as $\frac{1}{r^2}\frac{\partial }{dr}\left(r^2\frac{\partial T}{dr}\right)+\frac{1}{r^2{\sin }^2\theta }\frac{{\partial }^{2}T}{\partial {\varphi }^2}=\frac{1}{\alpha }\frac{\partial T}{\partial t}$

1. Is heat transfer steady or transient?
2. Is heat transfer one- two-, or three-dimensional?
3. Is there heat generation in the medium?
4. Is the thermal conductivity of the medium constant or variable?