Determine the volume of the shaded region. Use the z button on your calculator. The volume of the shaded region is (Simplify your answer. Type an integer or a decimal rounded to the nearest hundredth as needed.) 3.8 cm 11.6 cm 4 cm DOO

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6.
**Determine the Volume of the Shaded Region**

This exercise involves calculating the volume of a shaded region, using the \(\pi\) button on your calculator. 

**Volume Calculation Task:**

- **Volume of the Shaded Region**: [   ]
  - *(Simplify your answer. Type an integer or a decimal rounded to the nearest hundredth as needed.)*

**Diagram Explanation:**

- The illustration shows two vertically aligned cylinders.
- The outer cylinder has a diameter of \(4 \, \text{cm}\) and height \(11.6 \, \text{cm}\).
- Inside, there are two white spheres, each with a diameter of \(3.8 \, \text{cm}\), stacked within the outer cylinder.
- The shaded region of interest is the volume remaining after the volumes of the two spheres are subtracted from the volume of the cylindrical container.

To solve this problem, calculate the volume of the outer cylinder and subtract the combined volume of the two spheres contained within it.
Transcribed Image Text:**Determine the Volume of the Shaded Region** This exercise involves calculating the volume of a shaded region, using the \(\pi\) button on your calculator. **Volume Calculation Task:** - **Volume of the Shaded Region**: [ ] - *(Simplify your answer. Type an integer or a decimal rounded to the nearest hundredth as needed.)* **Diagram Explanation:** - The illustration shows two vertically aligned cylinders. - The outer cylinder has a diameter of \(4 \, \text{cm}\) and height \(11.6 \, \text{cm}\). - Inside, there are two white spheres, each with a diameter of \(3.8 \, \text{cm}\), stacked within the outer cylinder. - The shaded region of interest is the volume remaining after the volumes of the two spheres are subtracted from the volume of the cylindrical container. To solve this problem, calculate the volume of the outer cylinder and subtract the combined volume of the two spheres contained within it.
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