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[tex] \pi [/tex] (3.5) (14) + 2[tex] \pi [/tex] (3.5)^2
If we simplify this expression, we get:
98[tex] \pi [/tex] + 24.5[tex] \pi [/tex]
If you simplify once more, you get
122.5[tex] \pi [/tex] or ≈ 384.85
Therefore, the surface area is 122.5[tex] \pi [/tex] or about 384.85
