To find out how much space in the box is unused, we first need to calculate the total volume of all the marbles in the box.
The volume of one marble can be calculated using the formula for the volume of a sphere:
V = 4/3 * π * r^3
V = 4/3 * 3.14 * 2^3
V = 4/3 * 3.14 * 8
V = 33.51 mm³
Now, to find the total volume of all 50 marbles, we multiply the volume of one marble by the number of marbles:
Total volume = 33.51 mm³/marble * 50 marbles
Total volume = 1675.5 mm³
Subtracting the total volume of the marbles from the volume of the container, we get the volume of space that is unused:
Unused space = 4000 mm³ - 1675.5 mm³
Unused space = 2324.5 mm³
Rounded to the nearest tenth, the volume of unused space in the box is 2325.3 mm³.
Therefore, the correct answer is 2,325.3 mm³.
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)
○ 3,900 mm³
O 2, 325.3 mm³
33.5 mm³
O 1,674.7 mm³
1 answer
1 answer