Chapter 28, Problem 6P

A spherical ice cube (an “ice sphere”) that is 6 cm in diameteris removed from a $0°\text{C}$ freezer and placed on a mesh screenat room temperature $T_a=20°\text{C}$. What will be the diameter of theice cube as a function of time out of the freezer (assuming thatall the water that has melted immediately drips through thescreen)? The heat transfer coefficient h for a sphere in a stillroom is about 3 $\text{W/}\left({\text{m}}^{\text{2}}\cdot \text{K}\right)$. The heat flux from the ice sphere to the air is given by

$\text{Flux}=\frac{q}{A}=h\left(T_a-T\right)$

where $q=$ heat and $A=$ surface area of the sphere. Use anumerical method to make your calculation. Note that the latentheat of fusion is 333 kJ/kg and the density of ice is approximately0.917 kg/m³.