5. (4 pts) 8.5 grams of ZnO were pressed into a cylindrical pellet (diameter =2cm, height =1cm ). The pellet was then placed in a dilatometer (which monitors the change in the length of a specimen at elevated temperatures) and rapidly heated to a temperature T2. The isothermal shrinkage was monitored as a function of time and the results are plotted in the figure below. Calculate the relative theoretical density of the pellet at the end of the run (this is, after 80 minutes at T2 ). State all assumptions used in the calculation. Hint - the radial shrinkage cannot be ignored and the theoretical density of ZnO is 5.61g/cm3