Answer:
A. 301.6 cm²
Explanation:
The formula for surface area of a cylinder is
SA = 2πr² + 2πrh where r is the radius of the base, and h is the height
2πr² represents the area of the top and bottom circles
2πrh represents the area of the side if it were uncurled. When uncurled you would have a rectangle. It is as long around as the circumference of the circle (2πr) and has a given height. So the length is 2πr, and the width is the height of the cylinder.
We are given r = 4 and h = 8. so we have...
SA = 2π(4²) + 2π(4)(8)
SA = 32π + 64π
SA = 96π
SA = 301.5928947, which rounds to 301.6 cm²