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.