The correct statement about the diameter of a sphere is:
The diameter of a sphere passes through the center of the sphere.
Here’s a clarification of the other statements:
- The diameter is a chord, specifically the longest chord of the sphere.
- The diameter is not the shortest length on a sphere; the shortest length on a sphere is any segment along the surface that connects two points (the arc length).
- The diameter is not 2.5 times the length of the radius; the diameter is actually 2 times the length of the radius.
So, the only true statement from the options listed is that the diameter of a sphere passes through the center of the sphere.