Aspherical 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, ta = 20◦c. w what will be the diameter of the ice cube as a function of time out of the freezer (assuming that all liquid water that has melted immediately drips through a screen)? the heat transfer coefficient 1 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: q = ha(ta − t) (6) where q = heat and a = surface area of the sphere. use a numerical method to make your calculations. note that the latent heat of fusion is 333 kj/kg and the density of ice is approximately 0.917 kg/m3 .