Hummus made some hummus, the hummus was put into a perfect open spherical segment with height 12 cm, but with a flat circular base, if the radius of the base is 4 cm and the radius of the bowl (at the top) is 10 cm, figure out how much hummus Hummus can put in there,filling only half its volume.

Write your answer in \(cm^3\) and round to the nearest hundredth.

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