
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 a math class, the teacher and students calculated the volume of the Earth using the formula for the volume of a sphere, $V=\frac{4}{3}\pi r^{3}$, and found it to be approximately $1.08\times 10^{2}$ cubic kilometers. The teacher then introduced, "Scientists have found a planet that can also be approximated as a sphere, with a radius 10,000 times that of the Earth." The volume of this planet is approximately ______ cubic kilometers.

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