A $30-$cm$-$diameter, cylindrical column of a house made of concrete $($k $=0\mathrm{.}79$ W$/$m$*$K$,$ $=5\mathrm{.}94$ x $10^-7$ m$^2/$s$,$ m $=452\mathrm{.}4$ kg$,$ cp $=0\mathrm{.}84$ kj$/$kg$*$K$)$ is heated during the day from $14$C to $27$C$.$ The ambient temperature is $28$C with an average heat convection coefficient of $14$ W$/$m$^2$K analytical one$-$term approximation method to determine Use the $($a$)$ How long it will take for the column surface temperature to rise to $27$C $($b$)$ The amount of heat transfer during this process