To calculate the density of the wooden roller, we can use the formula for density:
\[ \text{Density} = \frac{\text{mass}}{\text{volume}} \]
-
Mass: The mass of the roller is given as 264 grams.
-
Volume: The volume \( V \) of a cylinder can be calculated using the formula:
\[ V = \pi r^2 h \]
- The diameter of the roller is 6 cm, so the radius \( r \) is half of that: \[ r = \frac{6 \text{ cm}}{2} = 3 \text{ cm} \]
- The height \( h \) of the roller is 15 cm.
- Now, we can calculate the volume: \[ V = \pi (3 \text{ cm})^2 (15 \text{ cm}) = \pi (9 \text{ cm}^2)(15 \text{ cm}) = 135\pi \text{ cm}^3 \]
Using \( \pi \approx 3.14 \): \[ V \approx 135 \times 3.14 \approx 423.9 \text{ cm}^3 \]
- Calculate the density: \[ \text{Density} = \frac{264 \text{ g}}{423.9 \text{ cm}^3} \approx 0.623 \text{ g/cm}^3 \]
Now, rounding to two decimal places gives us approximately \( 0.62 \text{ g/cm}^3 \).
Thus, the correct option is:
0.62 g/cm³