A solid sphere and a thin-walled hollow cylinder, both with mass \(M\) and radius \(R\), are released from rest at the top of an incline of height \(H\). Both objects roll down the incline without slipping. At the bottom of the incline, the translational speed of the center of mass for the solid sphere is \(v_S\) and the translational speed of the center of mass for the hollow cylinder is \(v_C\).

Which of the following correctly compares the two speeds and provides a valid justification?