Christy plans to paint both sides of a fence whose base is in the xy-plane with shape x = 30 cos3 t, y = 30 sin3 t, 0 ( t ( (/2, and whose height at (x, y) is 1 + 13 y, all measured in feet. Sketch a picture of the fence and decide how much paint she will need if a gallon covers 200 square feet?