The volume
of a cone with base radius
and height
is

Similarly, the volume
of a sphere with radius
is

We know that
and that 
So, we can set up the following equation:

We can simplify the common denominator 3, and pi appearing on both sides:

We can divide both sides by 4:

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
The answer for your question is thirteen
A hexagon can be considered to be 6 triangles with a common vertex.
Area of 1 of the triangle = 1/2 * 2 * side length
Area of whole hexagon is 6 times this.