
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 the radius of the sphere in the upgraded water tower is the cube root of the volume (150,000 liters) divided by 1000, and the ratio of the height of Logan's miniature water tower to the height of the upgraded water tower is the cube root of (0.1 liters) divided by 1000, to the cube root of (150,000 liters) divided by 1000, calculate the height, in meters, of Logan's miniature water tower.

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