A solid metal spinning top is constructed by joining a hemispherical top to a cone-shaped base. The radius of both the hemisphere and the base of the cone is 3 cm. The volume of the cone is half that of the hemisphere. Find the following to three significant figures:
a. The volume of the hemispherical top.
b. The height of the cone-shaped base.
c. The outer surface area of the entire spinning top, including all pieces.