
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 coordinates of the vertices of a tetrahedron in the rectangular coordinate system O-xyz are $A(0,0,\sqrt{5})$, $B(\sqrt{3},0,0)$, $C(0,1,0)$, and $D(\sqrt{3},1,\sqrt{5})$. What is the volume of the circumscribed sphere of the tetrahedron?

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