
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 cone-shaped funnel is designed with a four-inch radius. Determine the height that the funnel must have to accommodate exactly 150 cubic inches of liquid. Express the height to the nearest whole number.

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