A pycnometer is a device used to measure density. It weighs 20.455 grams when empty and 31.486 grams when filled with water. Pieces of an alloy are placed into the empty, dry pycnometer. The mass of the alloy and the pycnometer is 28.695 grams. Water is added to the alloy to exactly fill the pycnometer. The mass of the pycnometer, water, and alloy is 38.689 grams. Assume the density of the water is 1.000 g/cm3, calculate the density (in g/cm 3 and in g/mm3) of the alloy