
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 large cylinder is placed on a horizontal field on a sunny day. At a certain time, the shadow of the cylinder reaches out a distance of 12 m from the point where the cylinder touches the ground. At the same instant, a 1.5 m tall flagpole (held vertically with one end on the ground) casts a shadow of length 3 m. Calculate the radius of the cylindrical base in meters.

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