
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
Inside a right circular cone with a base radius of $6$ and a height of $10$, there are four congruent spheres arranged symmetrically. Each sphere is tangent to the base, the side of the cone, and the other spheres. Determine the radius $r$ of each sphere.
A) \(2.5\)
B) \(2.8\)
C) \(3\)
D) \(3.5\)

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