
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 facing upwards have the same volume. The radii of the tops of the liquid surfaces are 4 cm and 8 cm. A spherical marble of radius 2 cm is dropped into each cone, sinking fully without spilling liquid. What is the ratio of the rise of the liquid level in the cone with the smaller radius to the rise of the liquid level in the cone with the larger radius?
A) 1:1
B) 3:1
C) 6:1
D) 4:1
E) 2:1

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