ANSWER
A.
[tex]TSA=384\pi {cm}^{2} [/tex]
EXPLANATION
The total surface area of a cylinder is given by the formula,
[tex]TSA=2\pi \: {r}(r + h)[/tex]
We substitute the radius, which is
[tex]r = 8cm[/tex]
and
height
[tex]h = 16cm[/tex]
into the formula to obtain,
[tex]TSA=2\pi \: {8}(8 + 16)[/tex]
[tex]TSA=16 \times 24\pi[/tex]
[tex]TSA=384\pi {cm}^{2} [/tex]
The correct choice is A.
