Conduction through a hollow sphere

  1. Hi, I'm stuck on this derivation:

    Derive an equation which shows that the temperature varies hyperbolically with the radius r for steady-state conduction of heat in a hollow sphere.

    I know the answer is:

    (T-T1)/(T2-T1) = (r2/(r2-r1))(1-(r1-r))

    But how do you get it?

    I also know that q = (T1-T2)/((1/r1-1/r2)/(4pik))

  2. jcsd
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