$\"\"$

\

The region bounded by graphs $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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

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Consider $\"\"$ .

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In this case $\"\"$ .

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Width $\"\"$ .

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

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$\"\"$ .

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$\"\"$ .

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Calculate the $\"\"$ at the interval boundaries.

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$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$

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Simpsons rule :

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$\"\"$

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$\"\"$

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Substitute $\"\"$ to $\"\"$ values.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

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

\

$\"\"$

\

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