The volume of a container measures 4,000 mm to the power 3 and the container contains 50 marbles each marble has a radius of 2 millimeters use 3.14 as an approximate for pi how much space in the box is unused around your answer to the nearest ten

1 answer

The volume of the container is given as 4,000 mm³. The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume and r is the radius.

The radius of each marble is 2 millimeters, so the volume of one marble can be calculated as (4/3)*3.14*(2³) = 33.4933333 mm³.

The container contains 50 marbles, so the total volume occupied by the marbles is 50*33.4933333 = 1674.666665 mm³.

To find the unused space in the box, we subtract the volume of the marbles from the volume of the container: 4000 - 1674.666665 = 2325.333335 mm³.

Rounding to the nearest ten, the unused space in the box is approximately 2330 mm³.