Step 1:

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The equations are $\"\"$ and $\"\"$ .

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Washer method:

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$\"\"$ .

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$\"\"$ between $\"\"$ .

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so, take $\"\"$ and $\"\"$ over interval $\"\"$ .

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$\"\"$ .

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$\"\"$ between $\"\"$ .

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So, take $\"\"$ and $\"\"$ over interval $\"\"$ .

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$\"\"$

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Step 2:

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The volume of the region 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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Apply power rule in integration $\"\"$

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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 region is $\"\"$ cubic units.

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Solution:

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The volume of the region is $\"\"$ cubic units.