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

1 answer

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.

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