Consider eight small spheres , radius = r_(s) arranged at the corner of the cube , they are small enough so that they are not in contact . Now place a larger sphere , radius = r_(l) at the centre of the cube . This sphere is just large enough so that it is in contact with the eight small sphere . Now let the radius of the large sphere shrink , but keep the small sphere in contact with it . what is the radius ratio r_(s)//r_(l), when the small spheres at the cube corners come in to contact with each other .

Consider eight small spheres , radius = r_(s) arranged at the corner o

1.	Consider eight small spheres , radius = r_(s) arranged at the corner of the cube , they are small enough so that they are not in contact . Now place a larger sphere , radius = r_(l) at the centre of the cube . This sphere is just large enough so that it is in contact with the eight small sphere . Now let the radius of the large sphere shrink , but keep the small sphere in contact with it . what is the radius ratio r_(s)//r_(l), when the small spheres at the cube corners come in to contact with each other .
Answer» `1.24` `0.773` `1.336` `0.225` SOLUTION :`((1)/SQRT(3)-1)=1.366`