
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 spherical beach ball has an initial circumference of 30 inches. When inflated further, its circumference increases to 36 inches. Calculate the change in the radius, and also determine the percentage increase in the volume of the beach ball.
A) \( \frac{2}{\pi} \text{ in, } 50\% \)
B) \( \frac{3}{\pi} \text{ in, } 72.78\% \)
C) \( \frac{4}{\pi} \text{ in, } 68\% \)
D) \( \frac{3}{\pi} \text{ in, } 65\% \)

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