
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
Find the mass of a hemisphere if at each point its surface density is numerically equal to the distance of this point from the radius, which is perpendicular to the base of the hemisphere.

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