Consider all cylinders with both ends closed and volume 20 cm. Using the stops below, find the radius f om and height is cm of the cylinder with the smallest surface area. (a) Find the surface A of the cylinder in terms of ts radius r cm. Enter your answer for A (r) as a function of r below. You should launch the equation editor for easy entry. Enter product terms with multiplicative operations for example ar should be entered * . r using * (shift 8). Bin (a) 2 . X . F 40 (b) What happens to the radius r and as the side of the height h changes? O The radius + gets shorter while the height h gots shorter. The radius + gets longer while the height ha gets shorter. The radius r gets longer while the height ha gets longer. The radius + gots shorter while the height h gets longer. (c) What are the possible values of r ? You should include degenerate cylinders in your considerations whenever they still make sense in the prob Find in your answer as an inequality below. Enter infinity for Do and -infinity for -Do. 0