which of the following is true about the diameter of a sphere?
a the diameter is 2.5 times the length of the radius
b the diameter of a sphere passes through the center of the circle
c the diameter is not a chord
d the diameter is the shortest length on a sphere
b the diameter of a sphere passes through the center of the circle
This statement is true. The diameter of a sphere is a straight line that passes through the center of the sphere and connects two points on the surface of the sphere. This is the longest distance across the sphere, and it is equal to twice the radius.
The other options can be addressed as follows:
a the diameter is 2.5 times the length of the radius
This statement is false; the diameter is actually exactly 2 times the length of the radius, not 2.5 times.
c the diameter is not a chord
This statement is false; a diameter is a special type of chord. In a circle or a sphere, a chord is any straight line that connects two points on the surface. A diameter is a chord that passes through the center of the circle or sphere.
d the diameter is the shortest length on a sphere
This statement is false; the diameter is actually the longest straight-line distance between any two points on the surface of the sphere. The shortest distance between any two points on the surface of a sphere is along the surface, and this would be a segment of a great circle, not the diameter.