Suppose you wanted to make an ice cream cone that would hold as much ice cream as possible (do not assume ice cream comes in spheres). Challenge I Cut a wedge from a circle and remove it. From the remaining piece of the circle into a cone. Find the angle of the wedge that produces the cone with the greatest volume. Challenge II You can make a second cone from the removed wedge. Find a formula for the volume of this second cone in terms of theta, the angle of the wedge. Find the angle of the wedge that produces the maximum total value of the two cones.