Problem Description:
The image shows a hammer being submerged into a graduated cylinder filled with water. The water level is measured before and after the hammer is submerged. The task is to determine the volume of the hammer using the principle of displacement.
Step-by-Step Solution:
1.
Identify the Initial Water Level:
- Before the hammer is submerged, the water level in the graduated cylinder is at
60 mL. This is the initial volume of water.
2.
Identify the Final Water Level:
- After the hammer is submerged, the water level rises to
70 mL. This is the final volume of water plus the displaced volume by the hammer.
3.
Calculate the Volume Displaced by the Hammer:
- The volume of the hammer can be determined by the difference between the final water level and the initial water level.
- Volume displaced = Final water level - Initial water level
- Volume displaced = 70 mL - 60 mL = 10 mL
4.
Interpret the Result:
- The volume of the hammer is equal to the volume of water it displaces. Therefore, the volume of the hammer is
10 mL.
Final Answer:
\[
\boxed{10}
\]
Explanation:
The principle used here is Archimedes' Principle, which states that the volume of an object submerged in a fluid is equal to the volume of the fluid displaced by the object. By measuring the change in the water level before and after submerging the hammer, we can directly determine the volume of the hammer. In this case, the hammer displaces 10 mL of water, so its volume is 10 mL.
Parent Tip: Review the logic above to help your child master the concept of volume by water displacement worksheet.
