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**clumsy shark****Member**- Registered: 2012-01-07
- Posts: 13

Given the solid S: z=x^2 + 4y^2 , z <= 16

Find the volume and surface area of the solid S

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**scientia****Member**- Registered: 2009-11-13
- Posts: 222

Write the equation as

This is an ellipse with semimajor axis

and semiminor axis . Its area is . Integrate this from to to get the volume of the solid.The surface area is a bit more complicated

*Last edited by scientia (2013-02-28 06:42:09)*

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**clumsy shark****Member**- Registered: 2012-01-07
- Posts: 13

Many ThnX ^_^

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