The correct option is: A. 80 cm³
Explanation
Diameter of the coin, [tex] d= 2.0 [/tex] cm.
So, the radius, [tex] r= \frac{d}{2} = \frac{2.0}{2} = 1.0 [/tex] cm.
As the coin is circular, so..
Area of each circular surface, [tex] A= \pi r^2 = \pi (1.0)^2 = \pi [/tex] cm²
Now for finding the amount of plastic for making each coin, we will find the Volume of each coin first.
As the thickness ([tex] h [/tex]) of the coin is 0.5 cm, so Volume of each coin,
[tex] V= A*h \\\\= \pi*0.5 \\\\= 3.14159... * 0.5 \\\\ = 1.5707963... cm^3 [/tex]
As you need to make a batch of 50 coins, so the total volume of 50 coins [tex] = (1.5707963...*50 )= 78.53981... = 80 [/tex] [Rounded up to the nearest multiple of 10 cm³]
So, the amount of plastic you will need for making a batch of 50 coins is 80 cubic centimeter.
