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5 January, 09:44

Eight balls are in a box 18 inches long, 9 inches wide, and 4.5 inches deep. if each ball has a diameter of 4.5 inches what is the volume of the space around the balls

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Answers (2)
  1. 5 January, 10:40
    0
    I would say the answer would be 5382

    Step-by-step explanation:

    What i did was multiply 18 x 9 x 4.5 which would make 729 and if you multiply that by 8, you would get 5,382
  2. 5 January, 11:24
    0
    The volume of the space around the balls is:

    347.3 cubic inches.

    Step-by-step explanation:

    To calculate the result you must:

    Calculate the volume of the box. Calculate the summed volume of all the balls.

    To calculate the volume of a box you must apply the following formula:

    Volume of a box = Length * width * depth.

    Therefore you must replace with the provided values:

    Volume of a box = 18 inch * 9 inch * 4.5 inch Volume of a box = 729 inch^3

    Now the formula to calculate the volume of a sphere is:

    Volume of a sphere = 4/3 PI * r^3

    Remember that r (radius) is half the diameter, therefore the radius in this case is 2.25 inches, knowing this is replaced:

    Volume of a sphere = 4 / 3PI * r^3 Volume of a sphere = 4 / 3PI * (2.25) ^3 Volume of a sphere = 47.71 inch^3

    But since there are 8 spheres, the value obtained must be multiplied by 8:

    Volume of all spheres = 47.71 inch^3 * 8 = 381.7 inch^3

    And we proceed to subtract the volume of the balls from the volume of the box:

    Volume of space around = 729 inch^3 - 381.7 inch^3 = 347.3 inch^3
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