A piece of metal weighing 281.0 g is placed in a graduated cylinder containing 217.7 mL . of water. The volume of water now reads 246.0 ml . From these data calculate the density of the metal. Round your answer to 3 significant digits. density:

To calculate the density of the metal, you can use the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] **Given:** - Mass of the metal, \( m = 281.0 \) g - Initial volume of water, \( V_{\text{initial}} = 217.7 \) mL - Final volume of water with metal, \( V_{\text{final}} = 246.0 \) mL **Steps:** 1. **Find the Volume of the Metal:** \[ \text{Volume of metal} = V_{\text{final}} - V_{\text{initial}} = 246.0 \, \text{mL} - 217.7 \, \text{mL} = 28.3 \, \text{mL} \] 2. **Calculate the Density:** \[ \text{Density} = \frac{281.0 \, \text{g}}{28.3 \, \text{mL}} \approx 9.93 \, \text{g/mL} \] **Final Answer:** The density of the metal is **9.93 g/mL**.