
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 base radius $7$ and height $15$, are four congruent spheres with radius $r$. Each sphere is tangent to the other three spheres and also tangent to the base and side of the cone. What is $r$?
A) 2.25
B) 2.59
C) 2.75
D) 3.00

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