Hello -

I am to find the part of the plane 2x+5y+z=10 that lies inside the cylinder

I'm not sure how to start, and this is all i need help with. Do i parametrize the cylinder?

Printable View

- Apr 17th 2008, 06:27 PMapw235@nyu.eduArea of the Surface
Hello -

I am to find the part of the plane 2x+5y+z=10 that lies inside the cylinder

I'm not sure how to start, and this is all i need help with. Do i parametrize the cylinder? - Apr 17th 2008, 06:49 PMJen
Using cylindrical coordinates, we know that

and

and

Substituting all this for x and y after isolating z in the equation of the plane we get,

which simplifies to

Hope that helps! :) - Apr 17th 2008, 07:05 PMapw235@nyu.edu
i think its , but i'm confused as to how to use this, since we only have an equation for dS in cartesian coordinates =>

- Apr 17th 2008, 07:15 PMJenI should have read the title to the post
Right, now that I have figured out what we are doing.

is the surface area.

so we get

since we want only the area inside the circle we convert the integral to polar coordinates

Hope that helps!! :)