
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 with a base radius of $9 \, \text{cm}$ and height of $27 \, \text{cm}$ is filled with oil. This oil is then poured into a cylinder with a base radius of $18 \, \text{cm}$. Determine the height of the oil in the cylinder.
A) $1.5 \, \text{cm}$
B) $2.25 \, \text{cm}$
C) $3 \, \text{cm}$
D) $4.5 \, \text{cm}$
E) $6 \, \text{cm}$

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