FTCE General Knowledge Math Practice Test

What is the name of a space figure where all points are the same distance from the center?

1. Sphere

2. Cylinder

3. Pyramid

4. Cone

The correct answer is: Sphere

The correct answer is a sphere. A sphere is defined as a three-dimensional figure where all points on its surface are equidistant from a single point known as the center. This property of uniform distance is what characterizes a sphere, distinguishing it from other three-dimensional shapes. In contrast, a cylinder has two circular bases and a curved surface connecting them but does not maintain the uniform distance from a center point throughout the entirety of its volume. A pyramid, characterized by a polygonal base and triangular faces converging at a point, also does not exhibit this uniform distance from a center. Similarly, a cone has a circular base that narrows to a point, lacking the equidistant property present in a sphere. Therefore, the sphere is the only figure among the options provided that meets the criterion of having all points at the same distance from the center.