Find the surface area of the intersection of two cylinders.
Find the surface area of the solid that is the intersection of the two solid cylinders:
x^2 + z^2 <= k^2 (x squared plus z squared is less than or equal to a constant squared) AND
x^2 + y^2 <= k^2 (x squared plus y squared is less than or equal to the same constant squared)
What is my f(x,y)? What are my limits of integration?© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/calculus-and-analysis/find-the-surface-area-of-the-intersection-of-two-cylinders-333
...d y axis. So the way we want to regard our set is as a reunion of segments orthogonal on different points (x,y) that go through the plane. As long as (x,y) satisfies x^2+y^2<=k^2, there are points (x,y,z) that are in our initial set. This points will be those points that satisfy the other equation also, so the points ...