the diameter of a sphere
a is half the length of the radius
b is the distance from the center of the sphere to any point on the surface of the sphere
c is the longest distance on a sphere
d does not pass through the center of a sphere
The diameter of a sphere is a straight line passing through the center of the sphere and connecting two points on its surface. It is the longest distance that can be drawn on a sphere. The diameter is equal to twice the length of the radius.
In terms of the given variables:
- Radius (r): The radius of the sphere is the distance from the center of the sphere to any point on its surface.
- Diameter (d): The diameter is equal to twice the length of the radius. Therefore, d = 2r.
- a: The length a is half of the radius. So, a = r/2.
- b: The distance b is the distance from the center of the sphere to any point on its surface, which is equal to the radius (b = r).
- c: The longest distance on a sphere is the diameter, so c = d = 2r.
- d: If a line does not pass through the center of a sphere, it is not a diameter of the sphere.