Volume of Irregular Solids Worksheet worksheet - Free Printable

Problem Analysis:

The task involves determining the volume of a battery using the displacement method. This method measures the change in water level in a graduated cylinder when an object is submerged. The volume of the object is equal to the difference between the final volume (after submerging the object) and the initial volume (before submerging the object).

Step-by-Step Solution:

#### 1. Identify the Initial Volume:
- The left image shows the graduated cylinder before the battery is placed in it.
- The water level is at 15 mL.
- Therefore, the initial volume (\( V_i \)) is:
\[
V_i = 15 \, \text{mL}
\]

#### 2. Identify the Final Volume:
- The right image shows the graduated cylinder after the battery is placed in it.
- The water level rises to 20 mL.
- Therefore, the final volume (\( V_f \)) is:
\[
V_f = 20 \, \text{mL}
\]

#### 3. Calculate the Volume of the Battery:
- The volume of the battery is the difference between the final volume and the initial volume:
\[
V = V_f - V_i
\]
- Substitute the values:
\[
V = 20 \, \text{mL} - 15 \, \text{mL}
\]
- Perform the subtraction:
\[
V = 5 \, \text{mL}
\]

Final Answer:

The volume of the battery is:
\[
\boxed{5 \, \text{mL}}
\]

Explanation of the Process:

- The displacement method works because the volume of water displaced by the battery is equal to the volume of the battery itself.
- By measuring the change in water level, we can accurately determine the volume of the object.

This method is commonly used in experiments to measure the volume of irregularly shaped objects.