Question
Surface Area of Spheres Quick Check
2 of 52 of 5 Items
Question
Which of the following is true about the diameter of a sphere?(1 point)
Responses
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.
The diameter is 2.5 times the length of the radius.
The diameter is the shortest length on a sphere.
Answers
GPT-4o mini
The correct response regarding the diameter of a sphere is:
**The diameter of a sphere passes through the center of the circle.**
This statement is true as the diameter is defined as the longest straight line that can be drawn across a sphere, passing through the center. The other statements are incorrect for the following reasons:
- **The diameter is not a chord.**: This is false because the diameter is actually a specific type of chord that passes through the center.
- **The diameter is 2.5 times the length of the radius.**: This is false; the diameter is always twice the length of the radius (Diameter = 2 × Radius).
- **The diameter is the shortest length on a sphere.**: This is false; the diameter is the longest distance across the sphere, not the shortest.
So, the first statement is the only true one regarding the diameter of a sphere.
**The diameter of a sphere passes through the center of the circle.**
This statement is true as the diameter is defined as the longest straight line that can be drawn across a sphere, passing through the center. The other statements are incorrect for the following reasons:
- **The diameter is not a chord.**: This is false because the diameter is actually a specific type of chord that passes through the center.
- **The diameter is 2.5 times the length of the radius.**: This is false; the diameter is always twice the length of the radius (Diameter = 2 × Radius).
- **The diameter is the shortest length on a sphere.**: This is false; the diameter is the longest distance across the sphere, not the shortest.
So, the first statement is the only true one regarding the diameter of a sphere.