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586 tablespoons is about one-and-one-fifth times as big as a Basketball.
In other words, it's 1.21970436610 times the size of a Basketball, and the size of a Basketball is 0.819870804590 times that amount.
(NBA official ball standards, Size 7)
A NBA official ball, manufactured by Spalding, is a Size 7 ball and measures about 480.444291490 tablespoons. The surface of these balls have 4,118 pebbles with a diameter of 2.5 mm each.
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