If a comet exhausts its readily available volatile ices after many orbits, what does it eventually resemble?

Answer

A dark, irregularly shaped asteroid

After losing significant amounts of volatile material, a comet ceases to form a bright coma and tails, effectively becoming inert and resembling a dark, rocky remnant.

If a comet exhausts its readily available volatile ices after many orbits, what does it eventually resemble?
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