
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 tank with radius $5$ feet and height $10$ feet is standing upright. The tank is filled with water to a depth of $3$ feet. What is the volume of water in the tank, and what is the surface area of the water exposed to the air in square feet?
A) $25\pi$ cubic feet and $75\pi$ square feet  
B) $75\pi$ cubic feet and $100\pi$ square feet  
C) $75\pi$ cubic feet and $25\pi$ square feet  
D) $100\pi$ cubic feet and $25\pi$ square feet

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