Step 1:

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The curve equations are $\"\"$ and $\"\"$ about $\"\"$ -axis.

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Definition of volume:

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The volume of the solid $\"\"$ is $\"\"$ , where $\"\"$ is the cross sectional area of the solid $\"\"$ .

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$\"\"$

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Now we find the intersection points of the two curves $\"\"$ and $\"\"$ .

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Equate both the curves.

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$\"\"$

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Now we find the volume of the region over the interval $\"\"$ and $\"\"$ .

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Graph:

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$\"\"$

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Step 2:

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Area of the region bounded by the curve $\"\"$ and $\"\"$ -axis is $\"\"$

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Area of the region bounded by the curve $\"\"$ and $\"\"$ -axis is $\"\"$

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Cross sectional area of the solid is $\"\"$ .

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$\"\"$

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Step 3:

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Volume of the solid is $\"\"$ .

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

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$\"\"$

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Volume of the solid is $\"\"$ .

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Solution:

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Volume of the solid is $\"\"$ .