To calculate the density of the rock, we first need to determine its volume. The volume of the rock can be found by subtracting the initial volume of water from the combined volume of water and rock:
\[ \text{Volume of rock} = \text{Volume of water and rock} - \text{Volume of water} \] \[ \text{Volume of rock} = 59 , \text{milliliters} - 50 , \text{milliliters} = 9 , \text{milliliters} \]
Since 1 milliliter is equal to 1 cubic centimeter, the volume of the rock is 9 cubic centimeters (cm³).
Next, we can calculate the density of the rock using the formula for density:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Substituting the mass and the volume we found:
\[ \text{Density} = \frac{22 , \text{grams}}{9 , \text{cm}^3} \approx 2.44 , \text{grams per cm}^3 \]
Rounding this to two decimal places, we get approximately 2.4 grams per cubic centimeter.
Thus, the correct answer is:
C. 2.4 grams per centimeters cubed.