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A roll of quarters is shaped like a cylinder and contains 40/4 each quarter has a thickness of 1.75 mm and a diameter of 24.26 mm What measurement would be the closest to the volume of one roll of quarters in cubic millimeters

Respuesta :

Answer:

Volume of 1 roll of quarter is 32340.69 cubic millimeters.      

Step-by-step explanation:

We are given the following in the question:

Number of quarters = 40

Thickness of one quarter = 1.75 mm

Height of cylinder formed,h =

[tex]=\text{Number of quarters}\times \text{Thickness of 1 quarter}\\=40\times 1.75\\=70\text{ mm}[/tex]

Diameter of quarter =  Diameter of cylinder, d = 24.26 mm

Radius of quarter = Radius of cylinder, r =

[tex]r = \dfrac{d}{2} = \dfrac{24.26}{2} = 12.13\text{ mm}[/tex]

Volume of 1 roll of quarter =

[tex]V = \pi r^2 h\\V = 3.14\times (12.13)^2\times (70)\\V = 32340.69[/tex]

Thus, volume of 1 roll of quarter is 32340.69 cubic millimeters.

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