
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 area of a right triangle is $t=121.5 \mathrm{~cm}^{2}$; one of its angles is $\alpha=36^{\circ} 52^{\prime} 10.7^{\prime \prime}$. Calculate the surface area and volume of the double cone formed by rotating the triangle around its hypotenuse. Use $\pi=3,14159$.

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