
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
Given a triangular pyramid $S-ABC$ whose all vertices lie on the surface of a sphere $O$. $SC$ is the diameter of the sphere $O$. The plane $SCA$ is perpendicular to the plane $SCB$, $SA = AC$, $SB = BC$, and the volume of the triangular pyramid $S-ABC$ is $9$. Find the surface area of the sphere $O$.

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