1 Answer

Christian Santos · Answer 1 · 2023-08-23T15:59:38+0000

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$\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}$

What is the surface area of a cylinder with height 4 mi and radius 7 mi?

$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

$\textsf{Formula for Surface Area of a Cylinder:-}$

$\dashrightarrow\bigstar\boxed{\bold{A=2\pi rh+2\pi r^2}}\dashleftarrow$

Where

$\bold{A=area}$

$\bold{\pi =pi\:(3.14...)}$

$\bold{r=radius}$

$\bold{h=height}$

Given:-

$\bold{r=4mi}$

$\bold{h=7\:mi}$

Solving for Surface Area:-

$\bf{A=2\pi (4)(7)+2\pi (4)^2}$

$\bf{A=2\pi (28)+2\pi (16)}$

On further simplification,

$\bf{A=56\pi +32\pi }$

Now we just add the pi's together:-

$\bf{A=88\pi }$

And finally,

$\dashrightarrow\bf{\underline{A=276.460\:mi^2}\dashleftarrow$

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