Exchange-coupled　magnets　are　promising　candidates　for　a　new　generation　of　permanent　magnets.　Here,　we　investigated　the　effect　of　soft　magnetic　shell　thickness　and　the　aspect　ratio　of　the　hard　magnetic　core　on　the　magnetic　properties　for　isolated　core/shell　cylinder　exchange-coupled　magnets,　as　well　as　the　packing　effect　of　the　cylindrical　array　via　a　micromagnetic　simulation　method.　It　was　found　that　the　shape　anisotropy　contributions　to　the　magnetic　properties　in　the　cylindrical　core/shell　exchange-coupled　magnets　are　closely　related　to　the　thickness　of　the　soft　magnetic　shell.　When　the　soft　magnetic　shell　is　thin,　the　magnetic　properties　are　dominated　by　the　hard-soft　exchange　coupling　effects,　and　the　contributions　of　shape　anisotropy　are　quite　limited.　When　the　soft　magnetic　shell　is　relatively　thick,　utilizing　shape　anisotropy　would　be　an　effective　method　to　improve　the　magnetic　performance　of　hard-soft　exchange-coupled　magnets.　The　present　work　provides　an　in-depth　fundamental　understanding　of　the　underlying　magnetization　reversal　mechanism.　This　work　could　be　useful　for　designing　high-performance　permanent　magnets　and　avoiding　pitfalls.