
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
There are three concentric spheres with radii 4 units, 7 units, and 10 units, respectively. What is the volume, in cubic units, of the regions within the largest sphere but not within the intermediate sphere, and within the intermediate sphere but not within the smallest sphere?Express your answer in terms of $\pi$.

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