$\"\"$

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The equations are $\"\"$ on the interval $\"\"$ .

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Find the volume of the solid generated by revolving the region about the $\"\"$ -axis.

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The Volume of the solid solid generated by revolving the region about the $\"\"$ -axis, for the function $\"\"$ in the interval $\"\"$ is $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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The volume of the solid is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Equating the $\"\"$ coefficients.

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$\"\"$ .

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Equating the constant terms.

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ .

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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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The volume of the solid is $\"\"$ .

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$\"\"$

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The volume of the solid is $\"\"$ .