Answer:
128π in.² ≈ 402.1 in.²
Explanation:
The rod can be cut into two equal sized pieces in different ways, so there are different answers to this question. I assume the question is asking when the rod's length is cut in half, so now there are two rods, each one being a cylinder with 4 inch height.
We need the area of the original rod and then add two more base areas.
C = 8π in.
r = 4 in.
total surface area = lateral area + 4 × area of base
SA = 8 in. × 8π in. + 4 × π × (4 in.)²
SA = 64π in.² + 64π in.²
SA = 128π in.² ≈ 402.1 in.²