SP2019 ROLLBALL - The Rolling Ball

Rolling Ball Problem --------------------------------------------------- A solid spherical ball of radius **R** rolls without slipping on the inside surface of a fixed cone, whose tip points downward. The half-angle at the vertex of the cone is **u**. Initial conditions have been set up so that the ball travels around the cone in a horizontal circle of radius **l>R**, with the points on the ball that touch the cone tracing out a circle on the ball. Determine the radius of the circle of these contact points, if you want the sphere to travel around the cone as fast as possible. The Input ----------------------------------------------------- Each line of input has integers **l** (R < l

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