A sphere is a three-dimensional geometric shape that is perfectly round and symmetrical. Here are some key characteristics that correctly describe a sphere:
-
All Points Equidistant: A sphere is defined as the set of all points in three-dimensional space that are equidistant from a fixed point, known as the center of the sphere.
-
Radius: The distance from the center of the sphere to any point on its surface is called the radius.
-
Diameter: The diameter is twice the radius and is the longest distance across the sphere, passing through the center.
-
Surface Area Formula: The surface area \( A \) of a sphere can be calculated using the formula: \[ A = 4\pi r^2 \] where \( r \) is the radius of the sphere.
-
Volume Formula: The volume \( V \) of a sphere is given by the formula: \[ V = \frac{4}{3}\pi r^3 \]
-
No Edges or Vertices: A sphere has no edges or vertices, making it a smooth, continuous shape.
Let me know if you need any specific information or clarification regarding spheres!
1 answer