To find the total volume of the marbles, we first need to find the volume of each marble and then multiply by the total number of marbles:
Volume of each marble = (4/3) x pi x (2mm)^3
Volume of each marble = (4/3) x 3.14 x 8
Volume of each marble = 33.4933 mm^3 (approx)
Total volume of all marbles = 33.4933 mm^3/marble x 50 marbles
Total volume of all marbles = 1674.7 mm^3
The volume of the container is 4000 mm^3, so the space unused in the box is:
4000 mm^3 - 1674.7 mm^3 = 2325.3 mm^3
Therefore, the space unused in the box is 2,325.3 mm^3. The correct answer is:
2,325.3 mm3