Ratio of the Volume of n-spherical cap to the volume of n-sphere

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Assume an n-dimensional sphere with radius $R$ and volume $V^{(n)}_s$. Also assume a corresponding n-spherical cap with height $h$ and volume $V^{(n)}_c$. what is the ratio of two volumes? $$\frac{V^{(n)}_c}{V^{(n)}_s}=?$$