
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 company is designing a new funnel which is a right circular cone. The funnel must have a four-inch radius at the top. Determine the necessary height of the funnel to ensure it can contain 150 cubic inches of liquid. Provide the answer rounded to the nearest whole number.

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