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Given a role of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth.

*use π on your sci calculator.

Surface Area =

2 Answers

4 votes

Answer:

9.9823

Explanation:

iven a role of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth.

*use π on your sci calculator.

Surface Area =

User Dan Frade
by
4.6k points
2 votes

Answer:

The answer is 0.8 in^2

Explanation:

Data

diameter = 0.835 in

thickness = 0.077in

Roll of $ 2.00

Procedure

1.- Find the total number of nickels

# of nickels = 2/ 0.05

# of nickels = 40

2.- Calculate the Circumference

C = 2*pi*r

r = 0.077/2

r = 0.0385

C = 2*3.14*0.0385

C = 0.242 in

3.- Calculate the area of the thickness

Area = 0.242* 0.077*40

Area = 0.745 in^2

4.- Calculate the area of the base and the top

Area = 2*pi*r^2

Area = 2*3.14*(0.0382)^2

Area = 0.0093 in^2

5.- Calculate the total area of the roll

Total area = Area of the thickness + Area of the base and top

Total area = 0.745 + 0.0093

Total area = 0.7543 in^2 This is the result

Rounding to the nearest tenth = 0.8 in^2

User Ray Y
by
4.4k points