A $60-kg$ beef carcass and $\{$:$=0\mathrm{.}13{10}^{{?}^{{?}^{?}}}-6\frac{m^2}{s})$ initially at a

uniform temperature of $37C$ is to be cooled by refrigerated air at $-10C$ flowing at

a velocity of $1\mathrm{.}2\frac{m}{s}.$ The average heat transfer coefficient between the carcass and

the air is $23\frac{W}{m}2*C.$ Treating the carcass as a cylinder of diameter $28cm$ and

height $1\mathrm{.}4m$ and disregarding heat transfer from the base and top surfaces,

determine how long it will take for the center temperature of the carcass to drop to

$4C.$ Also, determine if any part of the carcass will freeze during this process.