
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
Cylinder X's height is triple the radius of cylinder Y, and cylinder X's radius is half the height of cylinder Y. If the volume of cylinder X is three times the volume of cylinder Y, express the volume of cylinder X in terms of the height \( h \) of cylinder Y as \( M \pi h^3 \). Find the value of \( M \).

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