Which type of icing is created by a cumulus type cloud with large super-cooled water droplets?

The type of icing created by a cumulus type cloud containing large super-cooled water droplets is clear icing. This icing forms when large droplets of super-cooled water freeze upon contact with an aircraft surface. When aircraft fly through such clouds, the large super-cooled droplets do not freeze immediately and can accumulate on surfaces like wings and tail sections, creating a clear, smooth layer of ice. Clear icing can be particularly hazardous because it may not be immediately visible and can accumulate quickly, affecting the aircraft's aerodynamics and performance.

In general, rime icing, in contrast, occurs from smaller super-cooled droplets that freeze rapidly upon contact, creating a rough texture that can be easier to detect visually. Mixed icing is a combination of clear and rime icing and can occur in conditions where both small and large droplets exist simultaneously. Hoarfrost forms from water vapor freezing on surfaces and is typically not associated with liquid clouds. Therefore, clear icing is the appropriate choice given the context of the question.