Answer:
3015.93 in²
Step-by-step explanation:
You want the surface area of a cylinder with radius 16 inches and height 14 inches.
Area
The total surface area of a cylinder is given by the formula ...
A = 2πr(r +h)
For the cylinder with the given radius and height, the area is ...
A = 2π(16 in)(16 +14 in) = 960π in² ≈ 3015.93 in²
The surface area of the cylinder is about 3015.93 square inches.
__
Additional comment
The area is the sum of the areas of the two circular bases, and the lateral area. The lateral area is the product of the circumference and the height.
A = 2πr² +2πrh
A = 2πr(r +h)
