$\"\"$

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

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(a).

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Find $\"\"$ - axis : Solve the function in terms of $\"\"$ .

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By using shell method $\"\"$ .

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Integrate from $\"\"$ to $\"\"$ .

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$\"\"$

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The limits of $\"\"$ is $\"\"$ to $\"\"$ .

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$\"\"$

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The values of $\"\"$ are $\"\"$ and $\"\"$ .

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The values of $\"\"$ are $\"\"$ and $\"\"$ .

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Solve $\"\"$ to find the value of $\"\"$ .

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The value of $\"\"$ because it is the radius of the cylinder for any point within the integral.

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

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$\"\"$

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Apply integration :

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$\"\"$

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$\"\"$

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(b).

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Find $\"\"$ - axis : Solve the function in terms of $\"\"$ .

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By using symmentry method :

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$\"\"$

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The limits of $\"\"$ is $\"\"$ to $\"\"$ .

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$\"\"$

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Solve $\"\"$ to find the value of $\"\"$ .

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$\"\"$

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Apply integration :

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$\"\"$

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$\"\"$

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(c).

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Solve the line for $\"\"$ :

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Apply integration :

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$\"\"$

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$\"\"$

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

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

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(c) The volume of the curve for the line $\"\"$ is $\"\"$ .