When a garden hose with an output diameter of \(20 \mathrm{~mm}\) is directed straight upward, the stream of water rises to a height of \(0.15 \mathrm{~m}\). You then use your thumb to partially cover the output opening so that its diameter is reduced to \(10 \mathrm{~mm}\). How high does the water rise now? Ignore drag and assume that the smaller opening you create with your thumb is circular.