Rose has a spherical plum of radius $2$ and a spherical watermelon of radius $8$. She builds a glass sphere around the two fruits to contain them, making the sphere as small as possible. When she has done this, she places a golf ball inside the glass sphere that is tangent to the plum and watermelon. What is the largest possible radius of the golf ball?
https://web2.0calc.com/questions/geometry_47534
I'm not really the best at explaining these problems, so I'll just leave it with this!
Thanks! :)