For a cylinder oriented along the z axis, of radius 3:(adsbygoogle = window.adsbygoogle || []).push({});

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!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Double integral-Surface area

**Physics Forums | Science Articles, Homework Help, Discussion**