
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 rectangular cuboid has edge lengths of 1, $\sqrt{3}$, and 2, respectively. All 8 vertices of the cuboid are on the surface of sphere O. What is the volume of sphere O?

A) $\frac{8\sqrt{2}}{3}\pi$
B) $3\sqrt{2}\pi$
C) $\frac{7\sqrt{3}}{3}\pi$
D) $4\sqrt{3}\pi$

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