Problem Analysis:
The task is to find the volume of a bottle cap using the displacement method. This involves measuring the change in water level in a graduated cylinder before and after placing the bottle cap into the water.
Given Information:
1.
Initial Volume (\( V_1 \)): The volume of water in the graduated cylinder before the bottle cap is added.
2.
Final Volume (\( V_f \)): The volume of water in the graduated cylinder after the bottle cap is added.
3.
Formula for Volume of Bottle Cap:
\[
V = V_f - V_1
\]
Step-by-Step Solution:
#### Step 1: Identify the Initial Volume (\( V_1 \))
- From the left image, the water level in the graduated cylinder is at
15 mL.
- Therefore, \( V_1 = 15 \, \text{mL} \).
#### Step 2: Identify the Final Volume (\( V_f \))
- From the right image, the water level in the graduated cylinder rises to
20 mL after the bottle cap is added.
- Therefore, \( V_f = 20 \, \text{mL} \).
#### Step 3: Calculate the Volume of the Bottle Cap
- Using the formula:
\[
V = V_f - V_1
\]
- Substitute the values:
\[
V = 20 \, \text{mL} - 15 \, \text{mL}
\]
- Perform the subtraction:
\[
V = 5 \, \text{mL}
\]
Final Answer:
\[
\boxed{5 \, \text{mL}}
\]
Explanation:
The volume of the bottle cap is determined by the increase in the water level when it is submerged in the graduated cylinder. This increase in volume is equal to the volume of the bottle cap itself. By subtracting the initial volume of water from the final volume, we obtain the volume of the bottle cap, which is
5 mL.
Parent Tip: Review the logic above to help your child master the concept of volume of irregular objects worksheet.
