In a monarchy total sovereignty is invested in one person, the monarch. The monarch holds their position until death, and gains their position through hereditary succession.
Members of Obama's cabinet: John Kerry, Jacob Lew, Chuck Hagel, Eric Holder, Sally Jewell, Tom Vilsack, Penny Pritzker, Thomas Perez, Sylvia Burwell, Julian Castro, Anthony Foxx, Ernest Moniz, Arne Duncan, Sloan Gibson, and Jeh Johnson.
The members of the cabinet provide the President with advice related to their areas of expertise. They're also the head of their departments.
Methods: 1) 2/3 vote in each house of Congress and ratified by 3/4 of the state legislatures, 2) proposed by Congress with a 2/3 vote in both houses and ratified by special conventions in 3/4 of the states, 3) proposed at a national convention when it's proposed by 2/3 of the state legislature then ratified by 3/4 of the state legislatures, 4) proposed at a national convention by Congress when it's requested by 2/3 of state legislatures then ratified by special conventions in 3/4 of the states.