
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 beverage company is testing a larger cone-shaped cup for one of its beverage dispensers. The cup has a radius of 5 inches. Determine the necessary height of the cup so that it can hold 150 cubic inches of water. Provide your answer rounded to the nearest whole number.

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