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A Basketball which meets the men's NBA standards has a circumference of 29.5". That gives a radius of 4.695 inches, which we can then put into the formula for the volume of a sphere - 4/3Πr3. That works out at 1.3333 x 3.1416 x 103.4920 = 433.4964619 cubic inches. A volume 100 times greater than that would be 43349.64619 cubic inches and taking that down to a radius by reversing the formula above, we get 3√ 43349.64619 ÷ 1.3333 ÷ 3.1416 = 21.7923 So, a sphere which is 43.5846 inches in diameter (that's just over 3 foot 7 inches across) would be 100 times the volume of a men's regulation basketball.
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