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wel
3 years ago
11

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 ap

proximate volume of the roll of dimes?
Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

  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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