
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 new paper cones for popcorn. The cone will be a right circular cone with a four-inch radius. How tall will the cone need to be to hold 150 cubic inches of popcorn? Express your answer to the nearest whole number.

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