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

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