Question

Hi! how do i find surface area of a cylinder? for some reason i can’t get the right answer

Answer 1

$SA=2\pi r^2+2\pi rh$

Use the formula above to find the surface area of a cylinder.

For the given cylinder the given data is the height (6mi) and diameter (16mi), use the diameter to find the radius:

$\begin{gathered} r=\frac{d}{2} \\ \\ r=\frac{16mi}{2}=8mi \end{gathered}$

Surface area:

$\begin{gathered} SA=2\pi(8mi)\placeholder{⬚}^2+2\pi(8mi)(6mi) \\ SA=128\pi mi^2+96\pi mi^2 \\ SA=224\pi mi^2 \end{gathered}$Then, the surface area of the given cylinder is: 224π square miles