$\"\"$

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The region bounded by the curves are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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

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The volume of the solid using shell method is $\"\"$ .

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

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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

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$\"\"$

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