
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 construction company had a pile of gravel arranged in a conical shape on top of a cylindrical base. The total height from the ground to the tip of the cone was $12$ feet. The cylindrical base had a height that was $50\%$ of the total height. The diameter of both the base and the cone was $10$ feet. Calculate the total volume of the structure in cubic feet, expressing your answer in terms of $\pi$.

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