SOLUTION: What is the furthest away that two points in space can be, if the first is on the surface of the sphere with center (1,-4,9) and radius 15 and the other is on the surface of the sp

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Question 912139: What is the furthest away that two points in space can be, if the first is on the surface of the sphere with center (1,-4,9) and radius 15 and the other is on the surface of the sphere with center (-3,10,-6) and radius sq root of 17?

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The distance between two points in 3D space is given by the
formula:

d%22%22=%22%22

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

d%22%22=%22%22

d%22%22=%22%22sqrt%28%28-3-1%29%5E2%2B%2810%2B4%29%5E2%2B%28-6-9%29%5E2%29

d%22%22=%22%22sqrt%28%28-4%29%5E2%2B%2814%29%5E2%2B%28-15%29%5E2%29

d%22%22=%22%22sqrt%2816%2B196%2B225%29

d%22%22=%22%22sqrt%28437%29

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%28437%29%2B15%2Bsqrt%2817%29%22%22=%22%2240.02765059

Edwin