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 not a chord. The diameter is not a chord. The diameter is 2.5 times the length of the radius.

1 answer

Let's evaluate each of the statements provided about the diameter of a sphere:

  1. The diameter is the shortest length on a sphere. - This statement is false. The diameter is the longest chord of the sphere, not the shortest.

  2. The diameter of a sphere passes through the center of the circle. - This statement is true. The diameter of a sphere, like that of a circle, passes through the center.

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

  4. The diameter is 2.5 times the length of the radius. - This statement is false. The diameter of a sphere is actually 2 times the length of the radius.

Based on this evaluation, the correct statement is:

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