Which of the following is the surface area of the right cylinder below radius 6 height 14 A)408pi units^2 B)240pi units^2 C)204pi units^2 D)480pi units^2

Respuesta :

[tex] \bf \textit{surface area of a cylinder}\\\\
SA=2\pi r(h+r)~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=6\\
h=14
\end{cases}\implies SA=2\pi (6)(14+6)
\\\\\\
SA=12\pi (20)\implies SA=240\pi [/tex]

Answer:

The correct option is B). 240 units²

Step-by-step explanation:

The radius of the cylinder is given to be 6 units

The height of the cylinder is given to be 14 units

Now, we need to find the surface area of the cylinder.

So, The formula for the surface area of cylinder is given by :

Surface Area of cylinder = 2π × radius (radius + height)

⇒ Surface Area of cylinder = 2π × 6(6 + 14)

⇒ Surface Area of cylinder = 12π × 20

⇒ Surface Area of cylinder = 240π units²

Therefore, The correct option is B). 240 units²