A fleshy pome is a type of fruit that has a thick fleshy outer layer derived from the receptacle of the flower, and the inner core contains seeds. Apples are a prime example of fleshy pome fruits, as their structure consists of a thick fleshy layer surrounding the central core, which holds the seeds. Other fruits like bananas and figs do not have the pome structure, and cashews are drupe fruits with a different arrangement.