A rock weighing 75.0 g is placed in a graduated cylinder, causing the water level to rise from 31.4 mL to 36.5 mL. What is the density of the rock in grams per cubic centimeter?

To find the density of the rock, you can use the formula:

Density = Mass / Volume

First, we need to find the volume of the rock. You can do this by measuring the water displacement in the graduated cylinder when the rock is submerged. The initial water level is 31.4 mL and it rises to 36.5 mL when the rock is added. To find the volume of the rock, you subtract the initial water level from the final water level.

Volume of the rock = Final water level - Initial water level Volume of the rock = 36.5 mL - 31.4 mL Volume of the rock = 5.1 mL

Now that you have the volume of the rock in milliliters, and since 1 mL is equivalent to 1 cubic centimeter (cm³), the volume of the rock is 5.1 cm³.

The mass of the rock is given as 75.0 g. Using the density formula:

Density = Mass / Volume Density = 75.0 g / 5.1 cm³ Density ≈ 14.71 g/cm³

So the density of the rock is approximately 14.71 grams per cubic centimeter.