Aluminium oxide (Al2O3) has a theoretical density of 3.97 g/cm3. 10 grams of a powder of
spherical Al2O3 particles is pressed uniaxially in a die (25 mm diameter) such that the particles take on a FCC packing arrangement.
a) What is the packing density (e.g., % of theoretical) of the FCC packing arrangement?
b) What was the height of the cylindrical powder compact?
c) If the powder compact is heated such that it sinters to full density can you determine the height and diameter of the fully dense Al2O3 cylinder? If so, perform the calculation and state any
assumptions that you made, if not explain why not.