$\"\"$

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The function is $\"\"$ , $\"\"$ and $\"\"$ .

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(a)

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Find volume of the solid about $\"\"$ - axis.

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Solve the function in terms of $\"\"$ .

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Find the point of intersections.

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

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Point of intersection is $\"\"$ .

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

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Point of intersection is $\"\"$ .

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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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By usig shell method $\"\"$ .

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$\"\"$

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$\"\"$

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Power rule of integral is $\"\"$

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$\"\"$

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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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(b)

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Find volume of the solid about $\"\"$ -axis.

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Solve the function in terms of $\"\"$ .

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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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By usig shell method $\"\"$

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

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$\"\"$

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(c)

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Find volume of the solid about the line $\"\"$ .

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Solve the function in terms of $\"\"$ .

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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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By usig shell method $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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$\"\"$

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

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

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(c) The volume of the curve about the line $\"\"$ is $\"\"$ cubic-units.