
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The radius of the base of a right circular cone is \( R \), and its height is one unit. The cone is cut by a plane parallel to its base at a distance \( h \) from the base. The truncated cone is then reflected across the cutting plane, and the common part is removed from the frustum. What is the volume of the resulting solid?

Present the answer in LaTex format: \boxed{Your answer}
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