
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 certain balloon is filled with a certain mass of gas. Under constant temperature conditions, the pressure $p$ (in $Pa$) of the gas inside the balloon is inversely proportional to the volume $V$ (in $m^{3}$) of the balloon. When $V=3m^{3}$, $p=8000Pa$. When the pressure of the gas inside the balloon exceeds $40000Pa$, the balloon will explode. To ensure that the balloon does not explode, the volume of the balloon should be no less than ______ $m^{3}$.

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