After his ten-year conquest he died/was murdered, so he had little time to deal with the problems to trying to unify, rule, expand prosperity and culture which faced him.
Alexander was a good Tsar of Russian Empire.
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To make his people happy
Alexander conquered the Persian Empire.
Hellenistic culture in Alexander's empire was very superficial, existing among the upper class. The remainder of the people continued on their own culture.
Alexander the Great extended his empire by conquering the Persian Empire and turning it into an empire of his own.
When Alexander was alive he was the sole leader and king (greeks never used the title emperor). After the death of Alexander his empire was divided to his generals (mainly : Seleukos, Antigonos,Ptolemaios,Kassandros,Lysimachos)
Alexander helped the survival of his empire
The early Roman empire lasted longer than the empire that was started by Alexander the great because there was more support. With more people, and more support, an Empire is trusted more, and can last longer.
Alexander the Great defeated the Persian empire
what part of Alexander's empire of Alexander's empire was located on the western end of the Black sea
The Macedonian Greek Empire of Alexander the Great conquered the Persian Empire and incorporated all of its lands.