The volume of a container measures 4,000 mm^3 and contains 50 marbles each marble has a radius of two mm used 3.14 as an approximation for pie how much space in the box is used around your answer to the nearest tenth
To find the space used by the marbles in the box, we first need to calculate the volume occupied by one marble.
The volume of a sphere is given by the formula V = (4/3) * π * r³, where r is the radius of the sphere.
Using the radius given (2 mm), we can calculate the volume of one marble:
V_marble = (4/3) * 3.14 * 2^3
V_marble ≈ 33.49 mm³
Since there are 50 marbles in the box, the total volume occupied by the marbles is given by:
Total volume = V_marble * 50
Total volume ≈ 1674.5 mm³
Now, to find the space used by the marbles in the box, we subtract the total volume occupied by the marbles from the volume of the container:
Space used = Volume of container - Total volume occupied by marbles
Space used = 4000 mm³ - 1674.5 mm³
Space used ≈ 2325.5 mm³
Therefore, the space used by the marbles in the box is approximately 2325.5 mm³ when rounded to the nearest tenth.