Question

What is the surface area of the cylinder?

180pi ft2
192pi ft2
252pi ft2
396pi ft2

Answer 1

`\sf \longrightarrow \: \:Surface \: area \: of \: cylinder \: = \: 2\pi \: r \: h \: + \: 2\pi \: {r}^(2)`

• r represents radius of cylinder

• h represents height of cylinder

`\sf \longrightarrow \: \: r \: = \: (Diameter)/(2) \\`

`\sf \longrightarrow \: \: r \: = \: (12)/(2) \\`

`\sf \longrightarrow \: \: r \: = \: \cancel(12)/(2) \: \: ^(6) \\`

`\sf \longrightarrow \: \: r \: = \:6 \: ft`

`\sf \longrightarrow \: \: h \: = \: 15 \: ft`

Now , Substuting the values

`\sf \implies \: \:2 \: * \: \pi * \: 6 \: * \: 15 \: \: + \: \: 2 \: * \: \pi * \: {6}^(2)`

`\sf \implies \: \:2 \: * \: \pi * \: 90 \: \: + \: \: 2 \: * \: \pi * \: 36`

`\sf \implies \: \:180 \: \pi \: + \: \: 72 \: \pi`

`\sf \implies \: \:252 \: \pi`

Hence, the surface area of cylinder is 252 π ft²