To find the density of the metal, we need to follow these steps:
1. Determine the volume of the metal:
- First, we find the initial volume of water in the graduated cylinder, which is 25.0 mL.
- After the metal is added, the water level rises to 33.0 mL.
- The volume of the metal is therefore the difference between the final and initial water levels:
[tex]\[
\text{Volume of the metal} = \text{Final water level} - \text{Initial water level} = 33.0\ \text{mL} - 25.0\ \text{mL} = 8.0\ \text{mL}
\][/tex]
2. Calculate the density of the metal:
- Density is defined as mass per unit volume. The mass of the metal is given as 48.0 grams and we have already found the volume to be 8.0 mL.
- Using the formula for density:
[tex]\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\][/tex]
- Substituting the known values:
[tex]\[
\text{Density} = \frac{48.0\ \text{g}}{8.0\ \text{mL}} = 6.0\ \text{g/mL}
\][/tex]
Therefore, the density of the metal is [tex]\(6.0\ \text{g/mL}\)[/tex].
The correct answer is:
[tex]\[ 6.0\ \text{g/mL} \][/tex]
