i think the whole problem answer needs to be expanded

You are studying heat transfer through the rind of an orange fruit having a thermal conductivity $k$

with heat generation $e^{}.$ In your experiment, the cooling process occurs in a pallet of oranges in a cold

room, and is therefore really slow. In these circumstances, you assumed the thermal process to be

pseudo$-$steady. The inner and outer radii of the rind are identified as $r_i$ and $r_o,$ respectively. During

the period of interest, the temperature on the inside surface of the rind is constant at $T_i.$ The outer

surface of the fruit is exposed to a very low heat transfer by convection $(h$ and $($:$T_{}\}.$ Note that only the

variables$/$values provided in the problem statement are known. Assume steady one$-$dimensional radial

heat transfer.

a$.$ Give the mathematical formulation of this pseudo$-$steady$-$state problem.

b$.$ Obtain an expression of the temperature as a function of the radial position $T(r)$ in variable form.

c$.$ Using the values provided in Table $1,$ obtain the numerical form of $T(r)$

Table $1$: Average properties, parameters and temperatures

d$.$ Calculate the rate of heat transfer $r=r_0$ using two different approaches.

e$.$ Could you use the solution obtained in $b$ to calculate the temperature at the center of the fruit?

Justify your answer.