
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
The region consisting of all points in three-dimensional space within $4$ units of line segment $\overline{CD}$ has volume $448\pi$. What is the length $\textit{CD}$?
A) $\frac{64}{3}$
B) $\frac{68}{3}$
C) $\frac{72}{3}$
D) $\frac{76}{3}$

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