
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 in the shape of a right circular cone for transferring oil. The funnel must hold 150 cubic inches of oil. If the radius of the funnel's opening is four inches, how tall must the funnel be to meet this requirement? Express your answer to the nearest whole number.

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