Jose is wrapping a stack of 100 coins in a paper holder. Each coin is 1/8 inch thick and has a diameter of 1 inch. How many square inches of paper will Jose need to cover the stack of coins?

uno

Step-by-step explanation:

uno muy grand

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Jose will need 39.25 square inches of paper to wrap the stack of coins

Explanation:

The resulting figure of a stack of 100 coins will be a right circular cylinder. We assume that Jose wraps around the cylinder (so it means not including the bases). Therefore we are solving for the lateral surface area of the cylinder: LSA = 2πrh.

To solve for height h, we multiply the thickness of the coin 100 times.

h = 100 * 1/8 in = 12.5 inches

Solving for radius r:

r = 1 inch/2 = 0.5 inches

LSA = 2 (3.14) (0.5 in) (12.5 in) = 39.25 square inches