The volume of one marble can be calculated using the formula for the volume of a sphere:
V = (4/3) * π * r³
where V is the volume and r is the radius of the marble. Substituting the given values:
V = (4/3) * 3.14 * 2³ = (4/3) * 3.14 * 8 = 33.4933 mm³ (approx)
The total volume occupied by 50 marbles can be calculated by multiplying the volume of one marble by the number of marbles:
Total volume occupied = 33.4933 mm³ * 50 = 1674.665 mm³ (approx)
The unused space in the box can be calculated by subtracting the total volume occupied by the marbles from the volume of the container:
Unused space = 4000 mm³ - 1674.665 mm³ = 2325.335 mm³ (approx)
Rounded to the nearest tenth, the unused space in the box is approximately 2325.3 mm³.
The volume of a container measures 4,000mm³ and contains 50 marbles each marble has a radius of 2mm use 3.14 as an approximation for pi how much space in the box is unused round your answer to the nearest tenth
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