Radial heat transfer is occurring by conduction through a long, hollow cylinder of radius $R$ and length $L$ with the end $r=R.$

$($i$)$ What is the final differentiate profile. $5\%$ how you develop it$.$

$($iii$)$ Using part ii$),$ derive an expression for the $q^{}(\frac{w}{m^3})$ in annular area, solve

$($iv$)$ If heat generation is occuring in profile. $,10\%$ the equation for the temperature protic.