Final answer:
Shield volcanoes have broad bases, gently sloping sides, and are associated with quiet or non-explosive eruptions.
Step-by-step explanation:
The type of volcanic cones that have broad bases and gently sloping sides and are associated with quiet or non-explosive eruptions are Shield volcanoes. Shield volcanoes are characterized by their large size and low profile, resembling a warrior's shield. These volcanoes are formed by the eruption of highly fluid lava that flows easily down the sides to create a broad, gradually sloping cone.