You have already got another answer that says "draw it" and that's the way to quite close replica. Illustrator's spiral isn't an exact replica but with careful settings and gradually widening custom stroke (=art brush) you can make something which can be near enough.
An example: Draw a spiral with the spiral tool:
Make an art brush. I drew a rectangle and moved its top right corner so that the right end height is about 25% of the original. Apply the brush to the spiral:
The brush width is scaled smaller. It's width wasn't designed with measurements.
Draw a circle. Make a copy of it pasted on the same place.
That circle can be used in several ways
- It can be a clipping mask for the spiral and the copy can be an outline and differently colored background
- It can be used to make an intersection after expanding the appearance of the spiral. The copy can be differently colored background.
In the next image there's no intersection, but the areas are filled with different colors with the Shape Builder and the extra piece is deleted (=hold Alt with the Shape Builder)
I guess your image is a photo of an existing physical spherical piece. To get the 3D look you must add shading and some gloss. It's far from trivial if you expect some plausibility. I skip it.
In a 3D program you can make a model of that piece by subtracting a several turns twisted extruded plane from a spherical surface. Or at least using that plane to define the coloring areas. Illustrator's 3D cannot do it. I have tried it in an older case:
How to make wrap ribbon