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**Problem**: Calculate the volume of a sphere inscribed in a right cone, which is inscribed in a cube with an edge length of \( \frac{\sqrt{5} + 1}{3} \text{ m} \).

### Steps to Solve:

1. **Cube Dimensions**: 
   The side of the cube is given as \( a = \frac{\sqrt{5} + 1}{3} \text{ m} \).

2. **Cone

Learn how to calculate the volume of a sphere inscribed in a right cone, which is itself inscribed in a cube with an edge length of (sqrt(5) + 1)/3 m. This problem involves advanced geometry and volume calculation concepts. Suitable for high school students.

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