
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
Given a right circular cone with a base radius of $10cm$ and a cross-section along the axis that is an equilateral triangle, find the approximate number of sesame seeds that will stick to the lateral surface of the cake.

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