
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 that the original water tower is 50 meters high and the top portion is a sphere that holds 100,000 liters of water, and Logan’s miniature water tower holds 0.05 liters, determine the height in meters that Logan should make his tower.

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