
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
Consider a frustum of a right circular cone, where the larger base has radius 8 cm, the smaller base has radius 4 cm, and the height between the bases is 6 cm. Calculate the lateral surface area of the frustum. Determine also the height of the original cone before it was cut to create the frustum.

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