Why can't I graph the intersection of a Sphere and Cylinder?

Evan O'Leary shared this problem 4 years ago

Not a Problem

I'm trying to use Intersect() to graph the intersection of a sphere centered a the origin, and a cylinder with half the radius whose circle slices are centered at a point halfway between the sphere's center and its circumference.

But it keeps giving me an undefined error. Is there a problem with the system?

The same problem

Comments (3)

mathmagic ● 4 years ago

not implemented

/1t5j70quYPf9lzJj7EqbPXIAp0+djUlAEZs9LxOzZCZg3byd+85s38P8D19ibeFYeX8IAAAAASUVORK5CYII=

Reply URL

Christian Boissinotte ● 3 years ago

You can solve algebraicly in CAS, but it gives you also a false solution. You will have to fiddle with a list of parametric equations.

Files: Capture d&rsquo...

Reply URL

Christian Boissinotte ● 3 years ago

Here is the equation of this intersection. Solving it by hand gives a better result. Solving for x gives

x=r-(z^2)/r you can then solve for y with the sphere equation (2 values). z is the parameter.

Files: Capture d&rsquo...

URL