Step 1:

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

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

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Washer method:

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$\"\"$

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The outer radius of revolution is $\"\"$ .

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The inner radius of revolution is $\"\"$

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

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$\"\"$ .

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$\"\"$

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Integrate between 0 and 1.

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$\"\"$

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$\"\"$

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Solve the integral by using substitution method.

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$\"\"$

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

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$\"\"$

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$\"\"$

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Apply formula $\"\"$ .

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$\"\"$

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Back 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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The volume of solid is $\"\"$ cubic units.

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Solution:

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The volume of solid is $\"\"$ cubic units.

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