Final answer:
To find the density of the fluid, we can use the principle of buoyancy. The density of the hydrometer is given as 0.750 g/mL and it floats with 92.0% of its volume submerged. We can calculate the density of the fluid by considering the density of the hydrometer and the volume of fluid it displaces.
Step-by-step explanation:
To find the density of the fluid, we can use the principle of buoyancy. The density of the hydrometer is given as 0.750 g/mL and it floats with 92.0% of its volume submerged. When a body floats in a fluid, the weight of the fluid displaced by the body is equal to the weight of the body itself.
In this case, we can calculate the density of the fluid by considering the density of the hydrometer and the volume of fluid it displaces. Since 92.0% of the volume of the hydrometer is submerged, the volume of fluid displaced is 92.0% of the total volume of the hydrometer.
We can then use the formula:
Density of fluid = Density of hydrometer × (Volume of fluid displaced / Total volume of hydrometer)
Plugging in the values, we get:
Density of fluid = 0.750 g/mL × (0.920)
Density of the fluid is 0.690 g/mL.