Tangent spheres

A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it?

Additional info: Two spheres are placed in a corner of a room. The spheres are each tangent to the walls and floor and tangent to each other.

Correct answer:

r =  0.2679 m

Step-by-step explanation:

R=1 m u=3 R=3 1=3 m1.7321 m x=uR=1.732110.7321 m  x=r+3r  r=x/(1+3)=0.7321/(1+3)=0.2679 m

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