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117 cups is about two-and-a-half times as as a Basketball (packed).
In other words, it's 2.4936918206 times the of a Basketball (packed), and the of a Basketball (packed) is 0.40101186191 times that amount.
(64% packing density) (NBA official ball standards, Size 7)
A NBA official ball, manufactured by Spalding, is a Size 7 ball measures about 30.027768218 cups. These balls have 4,118 pebbles each with a diameter of 2.5 mm
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