what´s going on - newbie question

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Hello everyone,
I was wondering if someone could help me with this - it is getting annoying. When intersecting curved or spherical objects, a surface becomes wrinkled afterwards. Here is an example, so you can see what I mean. Any suggestions are welcome.
Thanks in advance.

[Chirp Chirp]

Linked is a SketchUp file with some possible solutions to your problem. For the record there is no right answer and it not just a SketchUp thing.

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Perhaps there is no "right" answer, but these helped to save the day.
Thanks a lot!