yes found it out, I made it too difficult for myself.
My answer now has 6 digits with the sum of 30. This answer was rounded up, if I had to round it down my answer would be 29.
Furthermore the volume of the sphere is closely to 40% of the volume of the icosahedron
I didn't even had to make it that difficult as to find the volume of the icosahedron, all that is needed is the length of one of the sizes of the equilateral triangle. I shouldn't do these equations at 00.30 in the morning
but I really wanted to end top-250 this time :p