
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 with vertices pointing downwards contain the same amount of liquid. The radii of the tops of the liquid surfaces in these cones are 4 cm and 8 cm, respectively. Into each cone is dropped a spherical marble of radius 1.5 cm, which sinks to the bottom and is completely submerged without spilling any liquid. Determine the ratio of the rise in the liquid level in the smaller cone to that in the larger cone.
A) 1:1
B) 2:1
C) 3:1
D) 4:1
E) 5:1

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