Question
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
Answers
GPT 3.5
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.
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.