
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
The radius of the base of a cone is \( R \), and the lateral surface area is equal to the sum of the area of the base and the area of the axial section. Determine the volume of the cone.

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