Volume of a container measures 4,000 mm^3 and contains 50 marbles each marble has a radius of 2mm use 3.14 for pi. How much space in the box is unused? A. 2,325.3 b. 33.5 c. 1,674.7 d. 3,900

1 answer

To find the total volume of the marbles, we first need to calculate the volume of one marble and then multiply by the total number of marbles.

Volume of one marble:
V = (4/3)πr^3
V = (4/3)(3.14)(2)^3
V = (4/3)(3.14)(8)
V = 33.4933 mm^3

Total volume of marbles:
Total volume = 50 marbles x 33.4933 mm^3/marble
Total volume = 1674.665 mm^3

Unused space in the box:
Unused space = Total volume of the box - Total volume of marbles
Unused space = 4000 mm^3 - 1674.665 mm^3
Unused space = 2325.335 mm^3

Therefore, the answer is A. 2,325.3