
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 cylindrical cake with a height of 5 feet and a radius of 2 feet has a small cube of side 1 foot removed from the top center. After the cube is removed, how does the surface area of the cake change?
A) \(28\pi - 1 \text{ square feet}\)  
B) \(28\pi \text{ square feet}\)  
C) \(28\pi + 1 \text{ square feet}\)  
D) \(28\pi + 5 \text{ square feet}\)  
E) \(28\pi + 6 \text{ square feet}\)

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