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#1 2012-12-25 23:15:53

clumsy shark
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Triple integration

Given the solid S: z=x^2 + 4y^2 , z <= 16
Find the volume and surface area of the solid S

#2 2012-12-26 00:13:15

scientia
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Re: Triple integration

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 (2013-03-01 05:42:09)

#3 2012-12-26 00:15:13

clumsy shark
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Re: Triple integration

Many ThnX ^_^

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