Question

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

Answer 1

• 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) }`

Answer 2

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