You put a rock weighing 45g into a graduated cylinder. Before you put the rock in the graduated cylinder, the volume of water in the cylinder is 10mL. After you put the rock in the graduated cylinder, the volume rises to 25mL. What is the density of this 3rd rock?
density=45g/15ml=3g/ml
To find the density of the rock, you need to divide its mass by its volume.
First, let's calculate the change in volume caused by adding the rock to the graduated cylinder. The initial volume was 10 mL, and after adding the rock, it became 25 mL. Therefore, the rock occupies an additional 15 mL (25 mL - 10 mL).
Next, we need to convert the volume from milliliters (mL) to cubic centimeters (cm³) since the SI unit for density is grams per cubic centimeter (g/cm³).
1 mL is equivalent to 1 cm³. So, the additional volume occupied by the rock is 15 cm³.
Finally, divide the mass of the rock (45g) by the additional volume (15 cm³) to find the density.
Density = Mass / Volume
Density = 45g / 15cm³
Density = 3g/cm³
Therefore, the density of the rock is 3 grams per cubic centimeter (g/cm³).