can of berries in juice $(12$ cm high, $8$ cm diameter$)$ initially at $39\backslash$deg C is placed in arefrigerator at $4\backslash$deg C to cool. If the heat transfer coefficient of the air around the can is $24$ Wm$-2$ K$-1,$ the thermal conductivity of the berries is $0\mathrm{.}48$ W m$-1$ K$-1,$ the density is $1085$ kg m$-3$and the heat capacity is $3855$ J kg$-1$ K$-1,$ calculate the temperature at the centre of the berriesin the can after $3(1)/(2)$ hours of cooling $($you may assume that the thermal resistance of themetal can is negligible$).$