As part of a community clean-up project, several artists are painting murals on cylindrical trash cans. Each trash can has a height of 4 feet and a radius of 1.8 feet, and each mural completely covers the lateral side of a trash can.

About how much area does each mural cover?

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The lateral surface area of a cylinder is:

a=2πrh, we are told that r=1.8ft and h=4ft so

a=2π(1.8*4)

a=2π(7.2)

a=14.4π ft^2

a≈45.24 ft^2  (to nearest hundredth of a square foot)

The area does each mural cover 54.24 feet square.

We have given that,

As part of a community clean-up project, several artists are painting murals on cylindrical trash cans.

Each trash can has a height of 4 feet and a radius of 1.8 feet, and each mural completely covers the lateral side of a trash can.

The lateral surface area of a cylinder is,

What is the formula for the lateral surface area?

A=2πrh,

We are told that r=1.8ft and h=4ft so

[tex]A=2\pi (1.8*4)[/tex]

[tex]A=2\pi (7.2)[/tex]

[tex]A=14.4\pi ft^2[/tex]

[tex]A=54.24 ft^2[/tex]  (to nearest hundredth of a square foot)

The area does each mural cover 54.24 feet square.

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