An empty graduated cylinder has a mass of 11.4g. when it is filled with an unknown liquid to the 45.2 ml mark the cylinder and the liquid together weigh 95.1 gram. what is the density of the unknown liquid?

The density of the liquid is about 1.85 g/mL.

Density is mass/volume. The volume is given (45.2 mL). The mass must be found by subtracting the tare weight of the graduated cylinder from the total:
95.1 g- 11.4g = 83.7g

Using the mass and volume of the liquid, you can now calculate the density:
d = m/v = 83.7g/45.2 mL = 1.8517699115 g/mL.

Of the original values, the least number of significant figures are 3, so the answer must have a degree of accuracy of 3 significant figures:
1.8517699115 g/mL ≈ 1.85 g/mL.