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25 March, 23:47

a roll of dimes is 5. if the diameter of a dime is 18 millimeters and the height of each dime is 1.4 millimeters, what is the approximate volume of the roll of dimes?

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  1. 26 March, 02:09
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    17.8 cm³

    Step-by-step explanation:

    The radius of the roll is half the diameter, so is 9 mm. The length of the roll of 50 dimes is 1.4·50 mm = 70 mm. With these dimensions, we can use the formula for the volume of a cylinder:

    V = πr²h = π (9 mm) ² (70 mm) = 5670π mm³ ≈ 17,812.8 mm³

    Perhaps a more convenient unit of measure is cm³. Each cm³ is 1000 mm³, so the volume of a roll of dimes is approximately ...

    V ≈ 17.8 cm³
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