
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 conical hill has a total height of 5000 feet. If the top 2500 feet of the hill extend above water, calculate the fraction of the hill's total volume that is above water.

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