Answer: 42.12π in²
Explanation:
In order to find the surface area, you must add the area of both base circles to the area of the curved plane.
To find the combined area of the circles, use the formula πr², or 2.6²π, or 6.76π (2.6 being the radius as derived from the diameter of 5.2 divided by 2), and multiply the result by 2 (6.76π × 2 = 13.52π)
To find the area of the curved plane, take the circumference of the base and multiply by the height of the cylinder. Use πd, or 5.2π, as the circumference. Multiply this value by 5.5 to obtain the area of the rectangle (5.5 × 5.2π = 28.6π).
Adding the area of the circles and the curved plane together (13.52π + 28.6π) gives us 42.12π, the surface area in in².