
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
Calculate as required.  
(1) The lateral area of a cylinder with a base circumference of 1.8 meters and a height of 1.5 meters.  
(2) The volume of a cylinder with a diameter of 3dm and a height of 8cm.  
(3) The surface area of a cylinder with a base radius of 6 decimeters and a height of 5 decimeters.  
(4) A cone has a base area of 18.84 square centimeters and a height of 6 centimeters, calculate the volume of the cone.

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