Ability is a general word for power, native or acquired, enabling one to do things well: a person of great ability; ability in mathematics.
Synosyms: faculty, talent denote qualifications or powers.
Faculty denotes a natural ability for a particular kind of action: a faculty of saying what he means.
Talent is often used to mean a native ability or aptitude in a special field: a talent for music or art.
Capacity : the amount of space a container, room etc has to hold thing or people or ability to hold, receive, store, or accommodate.
Capability form in English form capable+ -ity. Capable: able to do things effectively and skillfully, and to archieve results. Suffix –ity is added to adjective to form nouns referring to a state or quality.
Synonyms: proficiency, expertness, dexterity.
Longman Dictionary of Contemporary English
Cambridge Advanced Learner's Dictionary
Dictionary.com