
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 round pizza is $\frac{1}{2}$ inch thick and has a diameter of 10 inches. It is cut into 12 congruent pieces. Calculate the volume and the curved surface area along the crust of one piece. Express your answer in terms of $\pi$.

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