Iron powder is placed into a tall cylinder-shaped die and pressed from the top and bottom to make a cylinder-shaped pressed part with a height of 5.62 cm and a radius of 4.00 cm. The density of the iron powder before it was pressed was 2.41 g/mL.

The density of a pressed iron part is 6.85 g/mL. The density of pure solid iron is 7.78 g/mL.

a. Calculate the original height of the powder before it was pressed.

b. Calculate the theoretical height of the pressed component if it could be pressed to the same density of pure iron.

c. What percentage of the pressed iron part is composed of voids between the iron particles?