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#1 2012-12-25 00:15:53

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

Triple integration

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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#2 2012-12-25 01:13:15

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

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 (2013-02-28 06:42:09)

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#3 2012-12-25 01:15:13

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

Re: Triple integration

Many ThnX ^_^

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