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For a cylinder oriented along the z axis, of radius 3:

x2 + y2 = 9

-4 <= z <= 4

y(x, z) = ±√(9 - x2)

G(x, y, z) = ±√(9 - x2) - y(x,z) = 0

I am trying to set up a double integral to calculate surface area along the sides of the cylinder.

In rectangular coordinates:

http://image.cramster.com/answer-board/image/cramster-equation-20094271716356337644939541787501925.gif

http://image.cramster.com/answer-board/image/cramster-equation-20094271718496337644952983975006480.gif

How would I do this in cylindrical co-ordinates?

Thanks!

x2 + y2 = 9

-4 <= z <= 4

y(x, z) = ±√(9 - x2)

G(x, y, z) = ±√(9 - x2) - y(x,z) = 0

I am trying to set up a double integral to calculate surface area along the sides of the cylinder.

In rectangular coordinates:

http://image.cramster.com/answer-board/image/cramster-equation-20094271716356337644939541787501925.gif

http://image.cramster.com/answer-board/image/cramster-equation-20094271718496337644952983975006480.gif

How would I do this in cylindrical co-ordinates?

Thanks!

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