
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 factory cuts metal disks with a diameter of 1 meter. It is known that a disk with a diameter of exactly 1 meter weighs exactly 100 kg. During manufacturing, there is a measurement error, and the standard deviation of the radius is 10 mm. Engineer Sidorov believes that a stack of 100 disks will weigh, on average, 10000 kg. How much is Engineer Sidorov mistaken?

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