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

Answer:

D) 32,357mm^3

Step-by-step 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

$r = \frac{1}{2} * diameter$

$r = \frac{1}{2} * 24.26mm$

$r = 12.13mm$

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):