
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 balloon with a diameter of $20 \text{ meters}$ appears at an angle of $0^{\circ} 36^{\prime} 15.3^{\prime \prime}$. How high above us is the balloon floating? How much illuminating gas was needed to fill the balloon, and what weight could prevent the balloon from rising? Given that $1 \text{ cubic meter}$ of gas weighs $0.6 \text{ kg}$, $1 \text{ cubic meter}$ of air weighs $1.293 \text{ kg}$, and the weight of the balloon material and all ballast is taken as $300 \text{ kg}$.

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