Answer:
[tex]S=6600\pi \text{ mm}^2[/tex]
[tex]S\approx 20724 \text{ mm}^2[/tex]
Step-by-step explanation:
A can of fruit is geometrically a cylinder.
We are talking about the surface area of a cylinder:
[tex]S=2\pi rh+2\pi r^2[/tex]
[tex]\pi \approx 3.14[/tex]
[tex]r: \text{radius}[/tex]
[tex]h: \text{height}[/tex]
Factoring, we have:
[tex]S=2\pi r (h+r)[/tex]
Calculating the surface area of the can of fruit:
[tex]S=2\pi (30) (80+30)[/tex]
[tex]S=2\pi (30) (110)[/tex]
[tex]S=6600\pi[/tex]
[tex]S\approx 20724 \text{ mm}^2[/tex]
