• 管理かんり — management / control
• 血管けっかん — blood vessel
• 保管ほかん — storage / safekeeping
• 主管しゅかん — supervision / jurisdiction
• 管轄かんかつ — control / jurisdiction
• 管制かんせい — control (like air traffic)
• 管楽器かんがっき — wind instrument
• 水道管すいどうかん — water pipe

管 combines ⺮たけかんむり (bamboo) with 官かん (official). Bamboo was traditionally used for flutes and tubes, and the idea of channeling or regulating extended to concepts of oversight, management, and control.