To find the volume displacement of the marble, you need to determine the difference in volume readings of the graduated cylinder before and after the marble was added. Here’s the step-by-step solution:
1. Identify the initial volume: The volume of the graduated cylinder before adding the marble is given as 32 mL.
2. Identify the final volume: The volume of the graduated cylinder after adding the marble is given as 43 mL.
3. Calculate the volume displacement: Subtract the initial volume from the final volume to find the volume displaced by the marble.
[tex]\[
\text{Volume Displacement} = \text{Final Volume} - \text{Initial Volume}
\][/tex]
Substituting the given values:
[tex]\[
\text{Volume Displacement} = 43 \text{ mL} - 32 \text{ mL}
\][/tex]
4. Perform the subtraction:
[tex]\[
43 \text{ mL} - 32 \text{ mL} = 11 \text{ mL}
\][/tex]
Therefore, the volume displacement of the marble is 11 mL.
