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Given a roll 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.

PLS RESPOND ASAP I NEED THE ANSWER PLSSSS

User Moritur
by
2.6k points

2 Answers

14 votes
14 votes

Answer:

124.8 Inches

Step-By-Step

1/2 0.835 Inches = 0.4175

r = 0.4175

h = 0.077

A=2πrh+2πr^2

A=2π(0.4175)(0.077)+2π(0.4175^2)

A = 3.12

Nickel = 5 Cents

$2 = 200 Cents

200 / 5 = 40

(3.12)(40) = 124.8 In

User GreenReaper
by
2.6k points
12 votes
12 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 Scottyab
by
3.1k points