Question
Which of the following is true about the diameter of a sphere? (1 point)
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 the shortest length on a sphere.
• The diameter is not a chord.
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 the shortest length on a sphere.
• The diameter is not a chord.
Answers
GPT-4o mini
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:
1. "The diameter is 2.5 times the length of the radius" - This is incorrect. The diameter is actually 2 times the radius (D = 2r).
2. "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.
3. "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.
**The diameter of a sphere passes through the center of the circle.**
Let's clarify the other statements:
1. "The diameter is 2.5 times the length of the radius" - This is incorrect. The diameter is actually 2 times the radius (D = 2r).
2. "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.
3. "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.