
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
Two right circular cones, both with vertices facing down and filled with the same volume of liquid, have the tops of their liquid surfaces with radii of 5 cm and 10 cm. Into each cone is dropped a spherical marble, but with different radii, 1 cm for the narrower cone and 2 cm for the wider cone. The marbles sink to the bottom, completely submerged without spilling any liquid. Determine the ratio of the rise of the liquid level in the narrower cone to the rise of the liquid level in the wider cone.
A) 1:1
B) 1.5:1
C) 1.84:1
D) 2:1
E) 2.5:1

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