
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 a height of $20  \mathrm{cm}$ is full of water. Half of this water is poured into a tall cylinder whose horizontal base has a radius of $18  \mathrm{cm}$. What is the height in centimeters of the water in the cylinder?
A) 1.5 cm   
B) 2.0 cm   
C) 2.315 cm   
D) 3.0 cm   
E) 3.5 cm

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