Two spheres with the same radius r, one centered at (1,2,-4) and the other centered at (4,5,3), touch each other tangentially at a single point. Find the value of the radius r.
I keep getting the wrong answer. I think i'm setting the problem wrong. Can someone please help me step by step.
I keep getting the wrong answer. I think i'm setting the problem wrong. Can someone please help me step by step.
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imagine the scene. Use two balls of equal size to visualise if it helps.
The spheres are touching. The distance between the centres of the spheres is equal to the sum of the radii (make a diagram with circles of equal radius to see it better)
As the spheres are ofequal radius r, r is half the distance between the centres of the spheres.
You know the coordinates, so you can calculate the distance.
The spheres are touching. The distance between the centres of the spheres is equal to the sum of the radii (make a diagram with circles of equal radius to see it better)
As the spheres are ofequal radius r, r is half the distance between the centres of the spheres.
You know the coordinates, so you can calculate the distance.