The sides of the rectangle are therefore h and 2πr. The area of each of the two circles is \(\pi r^2\)and the area of the rectangle is \(2 \pi r \times h\). The surface area of a cylinder is the ...

A cylinder is not a prism because the circle is not a polygon. Image caption, The total surface area of a prism is made up of the areas of the two end faces and the rectangles that join them.