You don't provide many details as to the requirements of the dome. E.g., should it from a half sphere-like shape?
A very easy approach but one that does not yield 14 - 16 sides is to use the GeoSphere standard primitive. This will yields more than 16 sides.

You could convert is to an editable poly and delete a row of polygons but you would still may have too many sides (20) and you may want to level off the bottom.

If you want a half-dome with exactly 16 sides then the following is one approach.
Working in the Top view create an NGON of 8 sides of radius 10 centered at 0,0,0, an NGOB of 4 sides of radius 7.071 centered at 0,0,7.071, and a point at 0,0,10.

Turn on snaps with pivot and endpoint set. Working in the top or orthogonal view create closed lines for the triangular panels as shown for one quarter of the dome. Add an Extrude modifer to each. It's best to specify the sequence of the 4 vertices for the closed splines in a counterclockwise direction to assure that their normals will be outward.

Select the 4 panels and group them. Edit the pivot of the group so that it's x and y coordinates are 0. The z coordinate is not relevant.
Using the Array tool create a total of 4 copies of the group taht fill and angle of 360° about the z axis.

Ungroup and you are finished!

lee.minardi