@curtisrhoads Nice Start. Sharpening edges is done mostly with an inverted crease brush or the pinch tool. I would recommend the pinch tool for the point of the cone, drag it a bit higher and pinch pinch pinch. Keep doing that until its sharp as you want it. For the bottom of the cone you first need to use the crease brush while holding ctrl (inverted) until you get the edge in the place you want. However, once the edge is in place use the pinch brush and brush along the edge until its sharper.
The difference between the two brushes is that the crease brush pushes or pulls (inverted) the vertices in and out in addition to pulling them closer together. The pinch brush simply pulls all vertices under the brush closer together without affecting the surface level.