Question
The diameter of a sphere is?
- half of the circumference of the sphere
- twice the radius of the sphere
- the length from the center of the sphere to point on the sphere
- the amount of space inside the sphere
- the length of a chord not through the center of the sphere
- half of the circumference of the sphere
- twice the radius of the sphere
- the length from the center of the sphere to point on the sphere
- the amount of space inside the sphere
- the length of a chord not through the center of the sphere
Answers
GPT-4o mini
The correct definition of the diameter of a sphere is:
- **twice the radius of the sphere.**
To further clarify:
- The diameter is not half of the circumference; rather, the circumference is \(C = \pi \times d\), where \(d\) is the diameter.
- The diameter is not the length from the center of the sphere to a point on the sphere; that length is the radius.
- The diameter does not represent the amount of space inside the sphere; that space is referred to as the volume.
- The diameter is not the length of a chord not through the center; a chord is a line segment with both endpoints on the sphere.
So, the diameter is indeed **twice the radius of the sphere.**
- **twice the radius of the sphere.**
To further clarify:
- The diameter is not half of the circumference; rather, the circumference is \(C = \pi \times d\), where \(d\) is the diameter.
- The diameter is not the length from the center of the sphere to a point on the sphere; that length is the radius.
- The diameter does not represent the amount of space inside the sphere; that space is referred to as the volume.
- The diameter is not the length of a chord not through the center; a chord is a line segment with both endpoints on the sphere.
So, the diameter is indeed **twice the radius of the sphere.**
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