A spherical ice cube (an ice sphere) that is 6 cm in diameter is removed from a 0°C freezer and placed on a mesh screen at room temperature Tα = 20°C. What will be the diameter of the ice cube as a function of time out of the freezer (assuming that all the water that has melted immediately drips through the screen)?

The heat transfer coefficient h for a sphere in a still room is about 3 W/(m2 ∙ K). The heat flux from the ice sphere to the air is given by

Flux = q/A = h(Tα – T)

Where q = heat and A = surface area of the sphere. Use a numerical method to make your calculation. Note that the latent heat of fusion is 333kJ/kg and the density of ice is approximately 0.917 kg/m3.