Answer:
190π (not part of the answer choices)
Step-by-step explanation:
The surface area of a cylinder can be found using the formula below:
[tex]SA=2\pi r^2+\pi dh[/tex] where [tex]r[/tex] is the radius of the base, [tex]d[/tex] is the diameter of the base and [tex]h[/tex] is the height of the cylinder.
Plug in the given values
[tex]SA=2\pi (\frac{10}{2}) ^2+\pi (10)(14)\\SA=2\pi (\frac{100}{4})+140\pi\\SA=2\pi (25)+140\pi\\SA=50\pi+140\pi\\SA=190\pi[/tex]
Therefore, although this answer isn't one of the choices, the surface area of the cylinder is 190π.
I hope this helps!
