Quadratic surfaces are described by second-degree equations and include cones, cylinders, ellipsoids, and spheres. They are common elements in graphics scenes and are often available as primitives. A quadratic surface intersects every plane in a conic section and there are 17 standard types including spheres. The surface of a sphere is defined by the equation x2 + y2 = z2 and its surface area and volume can be calculated with standard formulas. Ellipsoids are another type of quadratic surface defined by a general equation involving semi-axes lengths.

1.  A frequently used class of objects are the quadric
surfaces, which are described with second-degree
equations(quadratics).
 Examples of quadratic surfaces include the cone,
cylinder, ellipsoid, elliptic cone, elliptic cylinder,
elliptic, hyperboloid, elliptic paraboloid, hyperbolic
cylinder, hyperbolic, paraboloid, paraboloid,
sphere, and spheroid
 Quadratic surfaces, particularly spheres and
ellipsoids, are common elements of graphics
scenes, and they are often available in graphics
packages as primitives from which more complex
objects can be constructed.

2.  Quadratic surfaces are also called quadrics,
and there are 17 standard-form types.
 A quadratic surface intersects every plane in
a (proper or degenerate) conic section.

3.  Sphere is one of the examples of quadric surfaces.
 In cartesian coordinates, a spherical surface with radius
centred on the coordinate origin is defined as the set of
points(x,y,z) that satisfy the equation:
x²+y²=z²

4.  Any cross section through a sphere is a circle..
 The surface area of a sphere is given by:
S=4πR²
 The volume of a sphere is given by:
V=4/3π³.

5. Parametric coordinate position(r, θ, Φ)
on the surface of a sphere with radius
r.

7.  The general ellipsoid, also called a triaxial ellipsoid, is a
quadratic surface which is given in Cartesian coordinates by
 where the semi-axes are of lengths , , and . In spherical
coordinates, this becomes
If the lengths of two axes of an ellipsoid are the same, the
figure is called a spheroid