Answer:
2855.0
Explanation:
there are several surface areas.
1. outside surface of the cylinder = circle circumference times height = 2*pi*r*height = 2*pi*14*14 = 1231.5
2. top and bottom of the cylinder = circle area times 2 = pi*r^2 * 2 = pi*14^2 *2 = also 1231.5
3. subtract the 2 cut out rectangles on the top and the bottom = 2* 6*14 = 168
4. add the areas of the inside walls of the cut out block.
there are 2 narrow rectangles = 2* 6*14 = 168
there are 2 squares = 2* 14*14 = 392
so, 1.+2.-3.+4. = 2855.0 (2855.00864...)