
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
Fill in the blanks  
(1) The lateral surface of a cylinder unfolds into a ______ shape, and the base is two equal ______.  
(2) A cylinder has ______ heights, while a cone has only ______ height.  
(3) The base area of a cylindrical body is 72 square centimeters, and its height is 6 centimeters. Its volume is ______ cubic centimeters, and the volume of a cone with the same base and height is ______ cubic centimeters.

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