
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
Given a rectangular prism with width \( 2 \text{ cm} \), length \( 4 \text{ cm} \), and height \( 10 \text{ cm} \), and a right cylinder with radius \( 1 \text{ cm} \) and height \( 10 \text{ cm} \), both sitting on a flat surface, and the combined volume of water in the two containers is \( 80 \text{ cm}^3 \), determine the height of the water in each container.

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