If the diameter of a penny is 19.05 millimeters and the width of each penny is 1.52 millimeters, what is the approximate volume of the roll of pennies? use 3.14 for π and round your answer to the nearest tenth.

Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).

Step-by-step explanation:

Given : diameter of a penny is 19.05 millimeters and the width of each penny is 1.52 millimeters.

To find : volume of the roll of pennies.

Solution : We have given that

Diameter of a penny =  19.05 millimeters.

Width of each penny = 1.52 millimeters.

Volume of cylindrical roll of penny = pi * r² * h

Where, r = radius , h =height

Radius =

Radius=   .

Radius = 9.525 mm

Plugging the values of r , h and pi = 1.14.

Volume of cylindrical roll of penny = pi * r² * h

Volume of cylindrical roll of penny =3.14 * (9.525)² * 1.52

Volume of cylindrical roll of penny = 433.02 mm³

Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).

Therefore, Volume of cylindrical roll of penny = 433 mm³ ( nearest tenth).

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2