Question

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

A) 5,335mm
B) 6,256mm
C) 129,428mm
D) 32,357mm

Answer 1

D) 32,357mm^3

Explanation:

Given

`Quarters = 40`

`Thickness = 1.75mm`

`diameter = 24.26mm`

First, we calculate the volume of 1 roll.

The volume of the cylinder is:

`V = \pi r^2h`

Where

`r = (1)/(2) * diameter`

`r = (1)/(2) * 24.26mm`

`r = 12.13mm`

And the thickness represents the height.

So:

The volume is:

`V = 3.142 * 12.13^2 * 1.75`

`V = 809.03mm^3`

The volume of the 40 is:

`Roll= 40 * 809.03mm^3`

`Roll=32361.20mm^3`

The closest option is (d):