The formula for S.A. of a cylinder: S.A. = 2πr² + 2πrh (given).
r is radius, which is half the diameter. The diameter is 6 in, thus the radius is 3 in. h is height; the height of this cylinder is 8 in. Let's plug in our numbers and solve.
S.A. = 2π3² + 2π(3)(8)
S.A. = 2π9 + 2π24
S.A. = 18π + 48π
S.A. = 66π
Since the question says not to round, we must leave the answer in terms of pi.
Answer:
S.A. = 66π