Question 912139
<pre>
The distance between two points in 3D space is given by the
formula:

{{{d}}}{{{""=""}}}{{{sqrt((x[2]-x[1])^2+(y[2]-y[1])^2+(z[2]-z[1])^2)}}}

We use that to find the distance between the centers (1,-4,9) and (-3,10,-6).

{{{d}}}{{{""=""}}}{{{sqrt(((-3)-(1))^2+((10)-(-4))^2+((-6)-(9))^2)}}}

{{{d}}}{{{""=""}}}{{{sqrt((-3-1)^2+(10+4)^2+(-6-9)^2)}}}

{{{d}}}{{{""=""}}}{{{sqrt((-4)^2+(14)^2+(-15)^2)}}}

{{{d}}}{{{""=""}}}{{{sqrt(16+196+225)}}}

{{{d}}}{{{""=""}}}{{{sqrt(437)}}}

To that we must add the radius of each sphere, since that's how much further
apart the two points which are furthest apart are than the centers are apart.

Answer: {{{sqrt(437)+15+sqrt(17)}}}{{{""=""}}}{{{40.02765059}}}

Edwin</pre>