
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
During a buoyancy experiment, Xiao Hua tied a cubic iron block with a thin string and completely submerged it in a cylindrical beaker filled with water, causing 40cm<sup>3</sup> of water to overflow. Xiao Hua then lifted the iron block out of the beaker, and the water level in the beaker dropped by 0.6cm. What are the radius of the base of the beaker and the edge length of the iron block? (Calculate using a calculator, and round the result to 0.01cm)

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