A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with same initial speed \( v \). The sphere and the cylinder reaches upto maximum heights \( h_{1} \) and \( h_{2} \), respectively, above the initial level. The ratio \( h_{1} : h_{2} \) is \( \frac{n}{10} \). The value of \( n \) is __________.
