The following statement about the diameter of a sphere is true:
The diameter of a sphere passes through the center of the circle.
Let's clarify the other statements:
-
"The diameter is 2.5 times the length of the radius" - This is incorrect. The diameter is actually 2 times the radius (D = 2r).
-
"The diameter is the shortest length on a sphere" - This is also incorrect. The diameter is the longest chord of a sphere, not the shortest length.
-
"The diameter is not a chord" - This is incorrect as well. The diameter is a specific type of chord that passes through the center of the sphere (or circle).
So, the first statement is the only true one.