The council shall employ an administrator who shall be the administrative head of the county government and shall be responsible for the administration of all the departments of the county government which the council has the authority to control. He shall be employed with regard to his executive and administrative qualifications only, and need not be a resident of the county at the time of his employment. The term of employment of the administrator shall be at the pleasure of the council and he shall be entitled to such compensation for his services as the council may determine. The council may, in its discretion, employ the administrator for a definite term. If the council determines to remove the county administrator, he shall be given a written statement of the reasons alleged for the proposed removal and the right to a hearing thereon at a public meeting of the council. Within five days after the notice of removal is delivered to the administrator he may file with the council a written request for a public hearing. This hearing shall be held at a council meeting not earlier than twenty days nor later than thirty days after the request is filed. The administrator may file with the council a written reply not later than five days before the hearing. The removal shall be stayed pending the decision at the public hearing.