
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 larger base of an isosceles trapezoid is \(a\), the acute angle is \(\alpha\). The diagonal of the trapezoid is perpendicular to its lateral side. The trapezoid is rotated around its larger base. Find the volume of the solid of revolution.

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