4.50g/mL 5g/mL 4.5g/mL A sample of a metal is placed in a graduated cylinder to find the volume by water displacement.The water level rises from 15.3 mL to 24.4 mL. The sample of the metal is weighed on a balance, and the mass is determined to be 40.972 g. What is the density of the metal? 4.502g/mL

To find the density of the metal, we need to use the formula for density:<br /><br />\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]<br /><br />First, we determine the volume of the metal using water displacement. The initial water level is 15.3 mL, and the final water level is 24.4 mL. The volume of the metal is the difference between these two levels:<br /><br />\[ \text{Volume} = 24.4 \, \text{mL} - 15.3 \, \text{mL} = 9.1 \, \text{mL} \]<br /><br />Next, we have the mass of the metal, which is given as 40.972 grams.<br /><br />Now, we can calculate the density:<br /><br />\[ \text{Density} = \frac{40.972 \, \text{g}}{9.1 \, \text{mL}} \approx 4.505 \, \text{g/mL} \]<br /><br />Therefore, the density of the metal is approximately \(4.505 \, \text{g/mL}\).