Which of the following is true about the diameter of a sphere?(1 point)

Responses

The diameter is the shortest length on a sphere.
The diameter is the shortest length on a sphere.

The diameter of a sphere passes through the center of the circle.
The diameter of a sphere passes through the center of the circle.

The diameter is 2.5 times the length of the radius.
The diameter is 2.5 times the length of the radius.

The diameter is not a chord..

1 answer

The statement that is true about the diameter of a sphere is:

The diameter of a sphere passes through the center of the circle.

Here’s a breakdown of the other statements:

  1. The diameter is the shortest length on a sphere. - This is false; the shortest distance between two points on the surface of a sphere is along a great circle.

  2. The diameter is 2.5 times the length of the radius. - This is false; the diameter is actually 2 times the length of the radius.

  3. The diameter is not a chord. - This is false; the diameter is a special type of chord that passes through the center of the sphere.

Thus, the correct response is: The diameter of a sphere passes through the center of the circle.