Explanation:
Density is defined as the mass present in per unit volume of a substance.
Mathematically, Density = [tex]\frac{mass}{volume}[/tex]
It is given that density is 0.7857 [tex]g/cm^{3}[/tex] and mass is 7.64 g. Therefore, calculate the volume as follows.
Density = [tex]\frac{mass}{volume}[/tex]
0.7857 [tex]g/cm^{3}[/tex] = [tex]\frac{7.64 g}{volume}[/tex]
volume = [tex]9.72 cm^{3}[/tex]
It is known that 1 [tex]cm^{3}[/tex] = 1 ml.
Therefore, we can conclude that volume in ml of given acetone is 9.72 ml.