
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
To measure the volume of an irregular iron block, a study group conducted the following experiment:<br/>① Weighed the iron block on a balance and found its mass to be $0.4kg$;<br/>② Measured the bottom radius of a cylindrical container from the inside to be $5cm$;<br/>③ Measured the height of the cylindrical container from the inside to be $10cm$;<br/>④ Injected a certain amount of water into the container and measured the water level to be $6cm$;<br/>⑤ Completely submerged the iron block in the water (without overflowing) and measured the water level to be $8cm$.<br/>Please calculate the volume of this iron block based on the information provided.

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