
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 interior of a right, circular cone is 12 inches tall with a 3-inch radius at the opening. The interior of the cone is filled with water, and the cone has a hemisphere of water exactly covering the opening of the cone. Calculate the total volume of water in the cone and hemisphere.

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