The surface area for this case is given by:
A = 2 * pi * r ^ 2 + 2 * pi * r * h
Where,
r: radius of the coins
h: height of the coin stack.
Substituting values we have:
A = 2 * 3.14 * (1/2) ^ 2 + 2 * 3.14 * (1/2) * (100 * (1/8))
A = 40.82 in ^ 2
Note: the correct thickness of the coins should be 1/8 in.
Answer:
Jose will need 40.82 in ^ 2 to cover the stack of coins