
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 half-sector of a circle with radius $6$ inches is rolled up to form the lateral surface of a right circular cone by taping along the two radii. What is the total surface area of the cone (lateral surface area plus the base area) in square inches?
A) $21\pi$ square inches
B) $27\pi$ square inches
C) $36\pi$ square inches
D) $45\pi$ square inches

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