$\"\"$

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

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The solid is revolving about the $\"\"$ -axis.

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Find the integration limits.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The limits are $\"\"$ and $\"\"$ .

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Washer method:

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$\"\"$ .

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Graph the equations $\"\"$ and $\"\"$ on $\"\"$ .

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Graph:

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$\"\"$

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Observe the graph:

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

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

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$\"\"$

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Volume of the solid: $\"\"$

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Substitute $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Apply power rule of 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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$\"\"$

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$\"\"$

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$\"\"$ .