You can do this by factor labelling, going from extensive variable to extensive variable (extensive means that it measures quantity)
Start with what you know that measures how much stuff that you've got and cancel units until you get to what you want (along the way we'll use the definition of density)
9.529 lbs Au(453.6 g/1 lb)(1 cm3/19.3g)(1 ml/cm3)(1l/1000 ml) = liters
You can think of density in g/cm3 as a (pseudo)conversion factor between mass and volume for gold only. Multiply by anything on the top, divide by anything on the bottom.
Please consider a tutor. Take care.