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The curve equation is $\"\"$ .

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Rotation about $\"\"$ -axis.

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$\"\"$

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Volume of the solid is $\"\"$ .

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$ .

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Evaluate the integral $\"\"$ .

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Apply the formula from table of integrals entry 73:

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ cubic units.

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$\"\"$ cubic units.