Let's evaluate the statements about the diameter of a sphere:
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The diameter is 2.5 times the length of the radius.
This statement is false. The diameter of a sphere (or circle) is actually twice the length of the radius. The correct relationship is \( d = 2r \), where \( d \) is the diameter and \( r \) is the radius. -
The diameter is not a chord.
This statement is false. The diameter is actually a special type of chord that passes through both endpoints on the sphere and the center. -
The diameter of a sphere passes through the center of the circle.
This statement is true. By definition, the diameter of a sphere passes through its center and connects two points on its surface. -
The diameter is the shortest length on a sphere.
This statement is false. The shortest distance between two points on the surface of a sphere is called a geodesic, typically following a great circle path, not the diameter itself.
Based on this evaluation, the only true statement among the options provided is:
The diameter of a sphere passes through the center of the circle.
1 answer