The word disassemble means to take apart (into separate pieces) or to come apart.

The word dissemble means to put on a false appearance or to hide your true thoughts or feelings.

Link to present incidents:
Examples:
• "Keep in mind that the same wrench that is used to disassemble the bicycle can be used to reassemble it."
(Frederic C. Ross, Cell Biology and Chemistry for Allied Health Science. Kendall Hunt, 2003)
 
• "For a minute I was thinking to myself, there's a warm wind blowing in from Minicoy. . . . It's just an old saying from Earth. It all started with the famous ambassador from Minicoy, who used to bluster, exaggerate and dissemble to get what he wanted--not at all like you or me. He was a bag of hot air, and everyone recognized him for what he was."
(Avery Brooks as Commander Sisko in "The Circle." Star Trek: Deep Space Nine, 1993)