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The surface of a cylinder consists of the 2 circle bases with diameter 22 inches and the rectangular lateral side with height 15 inches and a length equal to the diameter of the circle base.

Let us find the area of those two circles and the rectangle with dimension 15 in. by 22*pi inches.

Circle Area = pi * radius^2 = 3.1415926 * (11 * 11) = 380.133 square inches.

The two circles have a combined area of 2*380.133 = 760.265 sq. in.

Rectangle area = length * height = 22* 3.1415926535 * (15 inches) = 1036.726 sq. in.

Add the areas together :

Surface Area = 760.265 + 1036.726 = 1796.99 square inches.

Please let me know if you need any clarification. I'm always happy to answer your questions.