Respuesta :

Greetings!

Answer:

402.88mm³

Step-by-step explanation:

To find the answer to this, we need to find the total area of the coin and then the size of the inner coin.

As this is a cylinder, the formula is:

[tex]\pi r^{2} h[/tex]

So lets find the area of the whole coin.

The radius is 11.5 and height is 2.2

[tex]\pi * 11.5^{2} * 2.2 = 914.05[/tex]


Now, the area of the inner circle:

Radius is 8.6 and height is 2.2:

[tex]\pi * 8.6^{2} * 2.2 = 511.17[/tex]


Now to find the area of the silver ring in the coin, you subtract the inner circle measurement from the whole coin measurement:

914.05 - 511.17 = 402.88

So the volume of the outer ring is 402.88mm³


Hope this helps!