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Use the formula to find the surface area of the figure. Show your work.

Use the formula to find the surface area of the figure. Show your work.-example-1
User Victorz
by
7.9k points

2 Answers

5 votes

Answer:

  • 1140.8 ft²

Explanation:

We know that,


\large {\boxed {\boxed{\bf\leadsto \: surface \: area \: of \: hemisphere \: = 3\pi {r}^(2) }}}

Here,

  • Radius = 11ft

Now

  • Putting the given value


\large \sf\leadsto3 * (22)/(7) * 11 {}^(2)


\large \sf\leadsto3 * (22)/(7) * 121


\large \sf\leadsto \: (66)/(7) * 121


\large \sf\leadsto (7986)/(7)


\boxed{\large \bf\leadsto1140.8 \: {ft}^(2) }

User Andred
by
8.6k points
2 votes

Formula Used:-


\qquad \hookrightarrow{ \underline{ \overline{ \boxed{ \sf{Surface \: Area =3\pi {r}^(2) }}}}}\\

SolutioN:-


\sf \longrightarrow \: Surface \: Area =3\pi {r}^(2) \: ) \\


\sf \longrightarrow \: Surface \: Area =3 * (22)/(7) * {r}^(2) \: \\


\sf \longrightarrow \: Surface \: Area =3 * (22)/(7) * {11}^(2) \: \\


\sf \longrightarrow \: Surface \: Area =3 * (22)/(7) * 11 * 11 \: \\


\sf \longrightarrow \: Surface \: Area = (3 * 22 * 11 * 11)/(7) \: \\


\sf \longrightarrow \: Surface \: Area = (66 * 11 * 11)/(7) \: \\


\sf \longrightarrow \: Surface \: Area = (66 * 121)/(7) \: \\


\sf \longrightarrow \: Surface \: Area = (7986)/(7) \: \\


\sf \longrightarrow \: Surface \: Area = 1140.8 \: {ft}^(2) \: \\

______________________________________________

Therefore, Surface Area of Hemisphere is 1140.8 ft²

User Jake Biesinger
by
7.6k points

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