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117 cups is about three-and-a-half times as as a Bowling Ball (packed).
In other words, it's 3.3620365732 times the of a Bowling Ball (packed), and the of a Bowling Ball (packed) is 0.29743876315 times that amount.
(64% packing density) (USBC specifications; tenpin)
According to United States Bowling Congress specifications, a tenpin bowling ball should measure at least 10.795 cm (4.25 in) in radius for a total volume of about 22.272214585 cups. Because regulation balls measure the same diameter irrespective of their weight, ball density varies by size and balls weighing less than about 5 kg (11 lbs) will float in water.
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