
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
Martina has a cylinder with a radius of 10 cm and a height of 70 cm, which is closed at the bottom. She places some solid spheres with a radius of 10 cm inside the cylinder and then closes the top end. If she puts the largest possible number of spheres in the cylinder, what is the volume, in cm³, of the cylinder that is not occupied by the spheres?

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