To determine how much space in the box is unused, we need to find the volume of the marbles and subtract it from the total volume of the container.
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Calculate the volume of one marble: The formula for the volume \( V \) of a sphere is given by: \[ V = \frac{4}{3} \pi r^3 \] where \( r \) is the radius of the marble. Given that the radius \( r \) is 2 mm and using \(\pi \approx 3.14\):
\[ V_{\text{one marble}} = \frac{4}{3} \times 3.14 \times (2^3) \] \[ = \frac{4}{3} \times 3.14 \times 8 \] \[ = \frac{32}{3} \times 3.14 \] \[ \approx 33.51 , \text{mm}^3 , \text{(approximately)} \]
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Calculate the total volume of 50 marbles: \[ V_{\text{50 marbles}} = 50 \times V_{\text{one marble}} = 50 \times 33.51 \] \[ \approx 1675.5 , \text{mm}^3 \]
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Find the unused space in the container: \[ V_{\text{unused}} = V_{\text{container}} - V_{\text{50 marbles}} \] \[ = 4000 - 1675.5 \approx 2324.5 , \text{mm}^3 \]
Rounding to the nearest tenth, the unused space is approximately:
\[ \boxed{2324.5 , \text{mm}^3} \]
From the options provided, the closest is 2,325.3 mm³.
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