What is the surface area of the cylinder with height 2 yd and radius 7 yd? Round your answer to the nearest thousandth.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the surface area of the cylinder with height 2 yd and radius 7 yd?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}[/tex]

[tex]\textsf{Formula for Surface Area (SA) of a Cylinder:-}[/tex]

[tex]\dashrightarrow\bigstar{\boxed{\bf{A=2\pi rh+2\pi r^2}}}\dashleftarrow[/tex]

Where

[tex]\bold{A=Area}[/tex]

[tex]\bf{\pi =pi (3.14...)}[/tex]

[tex]\bold{r=radius}[/tex]

[tex]\bold{h=height}[/tex]

Given:-

[tex]\bold{r=7}[/tex]

[tex]\bold{h=2}[/tex]

Solving for S.A.:-

[tex]\bold{SA=2\pi (7)(2)+2\pi (7)^2}[/tex]

[tex]\bold{SA=2\pi (14)+2\pi (49)}[/tex]

On further simplification,

[tex]\bold{SA=28\pi +98\pi }[/tex]

[tex]\bold{SA=126\pi }[/tex]

And finally,

[tex]\dashrightarrow\bigstar\boxed{\bold{SA=395.841\:yd}}\dashleftarrow[/tex]

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Answer:

954.814

Step-by-step explanation:

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