
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
The student slowly lowers the smaller container into the larger container. Given that the larger container has a height of 20 cm, a radius of 6 cm, and contains water to a depth of 17 cm, and the smaller container has a height of 18 cm, a radius of 5 cm, and is empty, calculate the depth of the water in the smaller container when it is resting on the bottom of the larger container.

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