
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
An inverted cone with a base radius of $15 \mathrm{cm}$ and height of $24 \mathrm{cm}$ is full of water. This water is then poured into a cylinder with a base radius of $18 \mathrm{cm}$. What is the height of the water in the cylinder?
A) $7.5 \text{ cm}$
B) $8.33 \text{ cm}$
C) $9 \text{ cm}$
D) $10 \text{ cm}$
E) $12 \text{ cm}$

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