FTCE General Knowledge Math Practice Test

What shape is defined as having all its points at the same distance from the center?

1. Cylinder

2. Sphere

3. Cone

4. Pyramid

The correct answer is: Sphere

The correct answer is indeed a sphere. A sphere is uniquely defined in three-dimensional space as the set of all points that are equidistant from a central point, which is referred to as the center of the sphere. This property gives the sphere its perfectly round shape, making it distinct from other geometric figures. Other shapes listed, such as a cylinder, cone, and pyramid, do not share this characteristic. A cylinder has circular bases and a height, forming a structure that extends vertically; it does not have all points equidistant from a center point in a three-dimensional context. A cone narrows to a point called the apex and includes a circular base, while a pyramid has a polygonal base and triangular faces that converge at a single vertex. None of these shapes have the uniform distance property that defines a sphere.