Measuring Volume worksheet with graduated cylinders and object displacement for volume calculation.

Problem Description:

The task involves measuring the volume of liquid in graduated cylinders and determining which object (battery, nail, button, or key) has the greatest and least volume based on the displacement of water in a graduated cylinder.

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Step-by-Step Solution:

#### Part 1: Measuring Liquid in Graduated Cylinders
Each graduated cylinder is marked with measurements in milliliters (mL). To determine the volume of liquid in each cylinder, follow these steps:

1. Identify the scale: Each cylinder has markings at intervals (e.g., every 5 mL or 10 mL).
2. Read the meniscus: The liquid in a graduated cylinder forms a curve called the meniscus. Always read the bottom of the meniscus for accuracy.
3. Estimate if necessary: If the liquid level falls between two markings, estimate the value to the nearest smaller marking or fraction.

Let's analyze each cylinder:

- Cylinder 1: The liquid level is at 10 mL.
- Cylinder 2: The liquid level is at 25 mL.
- Cylinder 3: The liquid level is at 30 mL.
- Cylinder 4: The liquid level is at 45 mL.
- Cylinder 5: The liquid level is at 20 mL.
- Cylinder 6: The liquid level is at 15 mL.
- Cylinder 7: The liquid level is at 35 mL.
- Cylinder 8: The liquid level is at 50 mL.

So, the answers for the first part are:
1. 10 mL
2. 25 mL
3. 30 mL
4. 45 mL
5. 20 mL
6. 15 mL
7. 35 mL
8. 50 mL

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#### Part 2: Determining Object Volumes Using Water Displacement
Water displacement is a method to measure the volume of irregularly shaped objects. When an object is submerged in water, it displaces an amount of water equal to its own volume. The increase in water level indicates the volume of the object.

Here are the readings for the graduated cylinder with different objects:

- Empty Cylinder: The water level is at 10 mL.
- Battery: The water level rises to 20 mL.
- Nail: The water level rises to 12 mL.
- Button: The water level rises to 11 mL.
- Key: The water level rises to 15 mL.

To find the volume of each object, subtract the initial water level (10 mL) from the new water level after adding the object:

1. Battery: \( 20 \, \text{mL} - 10 \, \text{mL} = 10 \, \text{mL} \)
2. Nail: \( 12 \, \text{mL} - 10 \, \text{mL} = 2 \, \text{mL} \)
3. Button: \( 11 \, \text{mL} - 10 \, \text{mL} = 1 \, \text{mL} \)
4. Key: \( 15 \, \text{mL} - 10 \, \text{mL} = 5 \, \text{mL} \)

Now, compare the volumes:
- Battery: 10 mL
- Nail: 2 mL
- Button: 1 mL
- Key: 5 mL

#### Questions 9 and 10:
- Question 9: Which object had the greatest volume?
- The battery has the greatest volume at 10 mL.

- Question 10: Which object had the least volume?
- The button has the least volume at 1 mL.

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Final Answers:

1. 10 mL
2. 25 mL
3. 30 mL
4. 45 mL
5. 20 mL
6. 15 mL
7. 35 mL
8. 50 mL
9. Battery
10. Button

\boxed{10, 25, 30, 45, 20, 15, 35, 50, \text{Battery}, \text{Button}}