$\"\"$

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The function is $\"\"$ .

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The volume of the curve about $\"\"$ -axis is $\"\"$ cubic units.

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$\"\"$

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The radius of the curve is $\"\"$ .

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The height of the curve is $\"\"$ .

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Integrate with $\"\"$ to $\"\"$ .

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Shell method: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Assume $\"\"$ .

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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

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$\"\"$

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$\"\"$

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Power rule of integral: $\"\"$ .

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$\"\"$

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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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The volume of the curve about $\"\"$ -axis is $\"\"$ cubic-units.

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$\"\"$

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The volume of the curve about $\"\"$ -axis is $\"\"$ cubic-units.