What is the volume in milliliters of 7.66 g of acetone

In order to solve this, we have to know the density of acetone because it is the ratio of mass to volume. At a certain temperature and pressure, the density of a specific substance does not change. It is an intrinsic property of a substance with temperature and pressure dependence.  Assuming this is in normal conditions, the density is equal to 0.784 g/mL. So, the volume would be equal to

Volume = Mass/Density
Volume = 7.66 g/0.784 g/mL = 9.77 mL

10.063g / 10.00 ml = 1.0063 g/ml which rounds off to 4 sig figs as: 1.006 g/ml