The coordinates A(0, 0), B(0, 3), C(4, 3) and D(4, 0) are graphed and connected together. What 3-dimensional shape will be created when this shape is rotated about the y-axis? Provide an explanation and proof for your answer to receive full credit. (10 points)
Check out the diagram below. Plotting A,B,C,D forms a rectangle. Rotating the flat 2D rectangle around the y axis will form a 3D cylinder. Think of a revolving door.
The radius of the cylinder is BC = AD = 4 units. The height is AB = CD = 3 units.