A hollow cylinder of length 1m has a conductivity of 10W/m/K. The inner surface with a radius of 10cm is maintained at a constant temperature of 25C and the outer surface with radius of 13.5cm is maintained at a temperature of 75C. The governing differential equation for this setup can be written as: r1drd(krdrdT)=0 a. Write down the boundary conditions for this differential equation. b. Solve the equation to find the temperature distribution along the radius of the cylinder. c. Plot the temperature distribution along the radius of the cylinder. d. Find the expression of the heat flux and plot it as a function of the radius of the cylinder. e. Find the amount of heat flow along the radial direction. How does it vary with the radius of the cylinder? Explain your observations