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

$\sf \longrightarrow \: \: r \: = \: \frac{Diameter}{2}$

$\sf \longrightarrow \: \: r \: = \: \frac{12}{2}$

$\sf \longrightarrow \: \: r \: = \: \cancel\frac{12}{2} \: \: ^{6}$

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

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

Now , Substuting the values

$\sf \implies \: \:2 \: \times \: \pi \times \: 6 \: \times \: 15 \: \: + \: \: 2 \: \times \: \pi \times \: {6}^{2}$

$\sf \implies \: \:2 \: \times \: \pi \times \: 90 \: \: + \: \: 2 \: \times \: \pi \times \: 36$

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

$\sf \implies \: \:252 \: \pi$

Hence, the surface area of cylinder is 252 π ft²