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Answer :
To find the volume of an object using water displacement, we need to subtract the final water volume from the initial water volume.
Here are the steps to determine the volume of the object, reported to the correct number of significant figures:
1. Identify the Initial and Final Volumes:
- The initial volume of water is 98.2 mL.
- The final volume of water, after the object is submerged, is 15.90 mL.
2. Calculate the Volume of the Object:
- Subtract the final volume from the initial volume:
[tex]\[
\text{Volume of the object} = 98.2\, \text{mL} - 15.90\, \text{mL} = 82.3\, \text{mL}
\][/tex]
3. Determine the Correct Number of Significant Figures:
- When subtracting, the result should be reported with as many decimal places as the measurement with the fewest decimal places.
- In this case, 98.2 mL has 1 decimal place and 15.90 mL has 2 decimal places.
- Therefore, the answer should be reported to 1 decimal place.
Thus, the volume of the object is 82.3 mL.
Here are the steps to determine the volume of the object, reported to the correct number of significant figures:
1. Identify the Initial and Final Volumes:
- The initial volume of water is 98.2 mL.
- The final volume of water, after the object is submerged, is 15.90 mL.
2. Calculate the Volume of the Object:
- Subtract the final volume from the initial volume:
[tex]\[
\text{Volume of the object} = 98.2\, \text{mL} - 15.90\, \text{mL} = 82.3\, \text{mL}
\][/tex]
3. Determine the Correct Number of Significant Figures:
- When subtracting, the result should be reported with as many decimal places as the measurement with the fewest decimal places.
- In this case, 98.2 mL has 1 decimal place and 15.90 mL has 2 decimal places.
- Therefore, the answer should be reported to 1 decimal place.
Thus, the volume of the object is 82.3 mL.
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