the diameter of a quarter is 24.26 millimeters and the width is 1.75 millimeters. What is the approximate volume of the roll of
quarters, to the nearest tenth?
1 answer:
Answer:
volume of the roll ≈ 32340.7 mm³
Step-by-step explanation:
The diameter of a quarter is given as 24.26 millimetres. The width is given as 1.75 millimetres. The width is the thickness of the quarter which is the height.
The roll or stack of quarters will conveniently a solid shape similar to a cylinder. The volume of the roll of the quarters is the same as the volume of a cylinder. The picture below is an example of a roll of quarters.
volume of a cylinder = πr²h
r = radius = 24.26/2 = 12.13 millimetres
h = height = 1.75 × number of quarters
volume of a cylinder = πr²h
Usually the number of quarters in a role = 40
h = 1.75 × 40 = 70 millimetres.
volume of a cylinder = πr²h
volume of the roll = 3.14 × 12.13² × 70
volume of the roll = 3.14 × 147.1369 × 70
volume of the roll = 3.14 × 10299.583
volume of the roll = 32340.690620
volume of the roll ≈ 32340.7 mm³
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