
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 glass weighs 200 pounds. Its center of gravity is $4.8 \mathrm{~cm}$ high, and its base area is $20 \mathrm{~cm}^{2}$. If water is poured into the glass slowly, at what height of the water will the center of gravity be the lowest?

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