Question

The volume of a container measures 4,000 mm3
and contains 50 marbles. Each marble has a radius of 2 mm. Use 3.14 as an approximation for pi. How much space in the box is unused? Round your answer to the nearest tenth.(1 point)
Responses

2,325.3 mm3

2,325.3 mm cubed

1,674.7 mm3

1,674.7 mm cubed

33.5 mm3

33.5 mm cubed

3,900 mm3

Answer 1

Volume of one marble = (4/3)πr^3 = (4/3)(3.14)(2^3) = (4/3)(3.14)(8) = 33.4933... mm^3.
Total volume of 50 marbles = 50 × 33.4933... = 1674.7 mm^3 (rounded to nearest tenth).
Unused space = 4000 − 1674.7 = 2325.3 mm^3.

Answer: 2,325.3 mm^3.