
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 can of height 10 cm and a base radius of 5 cm is divided into a wedge by making two planar cuts through the axis, and the sector angle at the base of the wedge is 60 degrees. Calculate the volume of the wedge.

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