
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
A right circular cone and a sphere have the same base radius, denoted as \( r \). If the volume of the cone is one-third that of the sphere, what is the ratio of the altitude of the cone, \( h \), to the radius of its base, \( r \)?
A) \( \frac{1}{3} \)
B) \( \frac{2}{3} \)
C) \( 1 \)
D) \( \frac{4}{3} \)
E) \( 2 \)

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