Step-by-step explanation
We need to identify which is the correct shape. We are told that it has a vertex. A vertex is a point where two or more lines, curves or edges met. In three dimensional shapes a vertex is a corner of the shape. As you can see, from the three shapes we have in the picture the only one with a corner is the cone. It is also important to note that this corner is in the opposite side of the base and this base has a circular shape.
Answer
As we discussed above the shape that meets these characteristics is the cone. Therefore the answer is the cone.