A cone shaped funnel can hold 314 cubic inches of water. If the height of the funnel is 12 inches, what is the radius of the funnel?

This question involves the application of the formula for the volume of a cone and the manipulation of the formula to solve for the radius. It also requires an understanding of the relationship between the dimensions of a cone (radius and height) and its volume. Additionally, it involves basic algebraic manipulation to solve for the unknown radius.