$\"\"$

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The region bounded by the curves are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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Find the volume of the solid generated if $\"\"$ .

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The volume of the solid using shell method is $\"\"$ .

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$\"\"$

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Substitute $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

\

$\"\"$ .

\

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

\

$\"\"$

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$\"\"$

\

$\"\"$

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Substitute $\"\"$ .

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$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

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The volume of the solid generated if $\"\"$ is $\"\"$ .

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$\"\"$

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(b)

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Find $\"\"$ such that the volume of the generated solid is $\"\"$ .

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The volume of the solid is $\"\"$ .

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$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

(a) The volume of the solid generated if $\"\"$ is $\"\"$ .

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(b) $\"\"$ .