
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
A cylindrical container is filled with water to a height of 8 cm. If three identical spheres are placed into it (the radius of the spheres is the same as the radius of the base of the cylinder), and the water level just covers the top sphere (as shown in the diagram), then the radius of the spheres is _______ cm.

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