State whether true (T) or false (F) :
A cylinder has only one vertex.

Answer

To determine whether the statement "A cylinder has only one vertex" is true or false, we can analyze the properties of a cylinder.

### Step-by-Step Solution:

1. **Understand the Definition of a Cylinder**:
A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface.

2. **Identify the Faces of a Cylinder**:
A cylinder has:
- Two flat circular faces (the top and bottom).
- One curved surface that wraps around the sides.

3. **Identify the Edges of a Cylinder**:
The edges of a cylinder include:
- Two circular edges where the flat faces meet the curved surface.

4. **Identify the Vertices of a Cylinder**:
A vertex is defined as a point where two or more edges meet. In a cylinder:
- The circular edges do not meet at a point; instead, they form a continuous curve.
- There are no sharp corners or points where edges converge.

5. **Conclusion**:
Since a cylinder does not have any vertices (points where edges meet), the statement "A cylinder has only one vertex" is **false**.

### Final Answer:
**False (F)**: A cylinder has no vertices.