The formula for the surface area of a cylinder is:
2πrh + 2πr^2
If we substitute in the measurements that we know, you get:
2\(\pi\) (3.5) (14) + 2\(\pi\) (3.5)^2
If we simplify this expression, we get:
98\(\pi\) + 24.5\(\pi\)
If you simplify once more, you get
122.5\(\pi\) or ≈ 384.85
Therefore, the surface area is 122.5\(\pi\) or about 384.85