A $32$ mm diameter stainless steel sphere is initially at uniform temperature Ti$=20\backslash$deg C at t$=0.$The surface of the sphere is exposed to $170\backslash$deg C oil with convection coefficients h$=700$W$/$m$.$K$.$ The thermal conductivity, heat capacity, and density of the stainless steel are K$=16\mathrm{.}5$W$/$m$.$K$,$ Cp$=520$ J$/$kg$.$K$,$ and p$=7900$ Kg$/$m$3$a$)$ Find the temperature at the center of the sphere when t$=55$ sb$)$ Find the temperature at the surface of the sphere when t$=55$ s