
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
In the three-dimensional rectangular coordinate system $O-xyz$, the set of points $P(x, y, z)$ that satisfy $x^2 + y^2 + z^2 ≤ 1, x ≥ 0, y ≥ 0, z ≥ 0$ corresponds to a spatial geometric body. Find its volume.

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