Question
Two graduated cylinders, one filled with water to 20 millimeters and one containing a rock and water filled to 32 millimeters.
Use the image to determine the volume of the rock.
Initial volume:
mL
Final volume:
mL
Volume of rock:
cm3
Answers
GPT-4o mini
To determine the volume of the rock, we can use the water level readings from the graduated cylinders you mentioned.
1. **Initial Volume of Water**: This is the water measurement in the first graduated cylinder before adding the rock. It is given as 20 milliliters (mL).
2. **Final Volume with Rock**: This is the water level in the second graduated cylinder after adding the rock, which is 32 milliliters (mL).
3. **Volume of Rock Calculation**: To find the volume of the rock, we subtract the initial volume from the final volume:
\[
\text{Volume of Rock} = \text{Final Volume} - \text{Initial Volume}
\]
Plugging in the values we have:
\[
\text{Volume of Rock} = 32 \, \text{mL} - 20 \, \text{mL} = 12 \, \text{mL}
\]
Since 1 mL is equivalent to 1 cm³, we can conclude that the volume of the rock is:
\[
\text{Volume of Rock} = 12 \, \text{cm}^3
\]
So to summarize:
- Initial volume: 20 mL
- Final volume: 32 mL
- Volume of rock: 12 cm³
1. **Initial Volume of Water**: This is the water measurement in the first graduated cylinder before adding the rock. It is given as 20 milliliters (mL).
2. **Final Volume with Rock**: This is the water level in the second graduated cylinder after adding the rock, which is 32 milliliters (mL).
3. **Volume of Rock Calculation**: To find the volume of the rock, we subtract the initial volume from the final volume:
\[
\text{Volume of Rock} = \text{Final Volume} - \text{Initial Volume}
\]
Plugging in the values we have:
\[
\text{Volume of Rock} = 32 \, \text{mL} - 20 \, \text{mL} = 12 \, \text{mL}
\]
Since 1 mL is equivalent to 1 cm³, we can conclude that the volume of the rock is:
\[
\text{Volume of Rock} = 12 \, \text{cm}^3
\]
So to summarize:
- Initial volume: 20 mL
- Final volume: 32 mL
- Volume of rock: 12 cm³