Question

Surface area question:

Answer 1

190π (not part of the answer choices)

Explanation:

The surface area of a cylinder can be found using the formula below:

`SA=2\pi r^2+\pi dh` where
`r` is the radius of the base,
`d` is the diameter of the base and
`h` is the height of the cylinder.

Plug in the given values

`SA=2\pi ((10)/(2)) ^2+\pi (10)(14)\\SA=2\pi ((100)/(4))+140\pi\\SA=2\pi (25)+140\pi\\SA=50\pi+140\pi\\SA=190\pi`

Therefore, although this answer isn't one of the choices, the surface area of the cylinder is 190π.

I hope this helps!