Answer:
207.24 in²
Explanation:
When the diameter is 6 inches, the radius is 3 inches, half the diameter.
We can rearrange the formula to make it a little easier to calculate:
SA = 2πR(R +H)
Substituting the given values, R=3, H=8, π=3.14, this becomes ...
SA = 2(3.14)(3)(3+8) = 207.24 . . . . square inches
The surface area of the cylinder is 207.24 square inches.