Surface Area of Spheres Quick Check

Question

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.

Answer 1

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.