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

User Dvsakgec
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2 Answers

10 votes

Answer:

954.814

Explanation:

User Pzr
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3 votes

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

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


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


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


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

Where


\bold{A=Area}


\bf{\pi =pi (3.14...)}


\bold{r=radius}


\bold{h=height}

Given:-


\bold{r=7}


\bold{h=2}

Solving for S.A.:-


\bold{SA=2\pi (7)(2)+2\pi (7)^2}


\bold{SA=2\pi (14)+2\pi (49)}

On further simplification,


\bold{SA=28\pi +98\pi }


\bold{SA=126\pi }

And finally,


\dashrightarrow\bigstar\boxed{\bold{SA=395.841\:yd}}\dashleftarrow

Good luck.

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User Mgcaguioa
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4.3k points