Answer:
Ro = 7.8 [g/cm³]
Explanation:
According to the principle of Archimedes, the volume of a body immersed in a liquid is equal to the volume displaced by water. That is, in this problem The displacement volume is equal to the new volume minus the original volume.
[tex]V_{n}=110[cm^{3} ]\\V_{o}=100[cm^{3} ]\\V_{d}=110-100 = 10 [cm^{3} ][/tex]
We now know that density is defined as the relationship between mass and volume.
[tex]Ro = m/V_{d}[/tex]
where:
Ro = density [g/cm³]
m = mass = 78 [g]
Vd = displacement volume [cm³]
[tex]Ro = 78/10\\Ro = 7.8 [g/cm^{3} ][/tex]
