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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the surface area of a cylinder with height 4 mi and radius 7 mi?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
[tex]\textsf{Formula for Surface Area of a Cylinder:-}[/tex]
[tex]\dashrightarrow\bigstar\boxed{\bold{A=2\pi rh+2\pi r^2}}\dashleftarrow[/tex]
Where
[tex]\bold{A=area}[/tex]
[tex]\bold{\pi =pi\:(3.14...)}[/tex]
[tex]\bold{r=radius}[/tex]
[tex]\bold{h=height}[/tex]
Given:-
[tex]\bold{r=4mi}[/tex]
[tex]\bold{h=7\:mi}[/tex]
Solving for Surface Area:-
[tex]\bf{A=2\pi (4)(7)+2\pi (4)^2}[/tex]
[tex]\bf{A=2\pi (28)+2\pi (16)}[/tex]
On further simplification,
[tex]\bf{A=56\pi +32\pi }[/tex]
Now we just add the pi's together:-
[tex]\bf{A=88\pi }[/tex]
And finally,
[tex]\dashrightarrow\bf{\underline{A=276.460\:mi^2}\dashleftarrow[/tex]
Good luck.
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