there are no naturally occurring yellow, round cucumbers. Cucumbers typically come in shades of green and have an elongated cylindrical shape. However, selective breeding and genetic modification can lead to new cultivars and varieties, so it's possible that yellow round cucumbers have been developed since then.
Assuming that such cucumbers exist and have properties similar to regular cucumbers, it should be fine to store them in a cold storage refrigerator. Like other cucumbers, they are perishable and will benefit from refrigeration to extend their shelf life. Proper storage conditions for cucumbers, in general, involve placing them in a plastic bag or wrapping them in plastic wrap to prevent moisture loss, then keeping them in the crisper drawer of the refrigerator.
If you are unsure about the specific variety of cucumber you have, it's always a good idea to check with the source from where you obtained them or conduct a quick online search to determine the best storage practices for that particular type.