Answer:
1.797 mm
Step-by-step explanation:
The key to solving this problem is finding the length of the coin wrapper, or "height" of the cylinder.
The volume of a cylinder equation is:
V = hπr^2
- We want to find h
- We are given diameter and we will want the radius so we divide
21.17/2 = 10.585
r = 10.585
So to find h we manipulate the equation by dividing both sides by pi and r^2
resulting in the following:
h = [tex]\frac{V}{\pi r^2}[/tex]
now substitute given values and we get
h = [tex]\frac{28470}{\pi10.585^{2} }[/tex] = 80.883
Now to find the thickness of a single coin we divide the length of the sleeve (h) by the number of coins in the sleeve (45).
Thickness = 80.883/45 = 1.797 mm
