Answer
The men's basketball has a diameter of 9.39 inches and would only fit in the 10 inch box.
The youth basketball has a diameter of 8.83 inches and fits in the 9 inch box.
Work Step by Step
$ pi * d = 27.75$
$ d = 27.75/3.14 = 8.83 inches$
$ pi * d = 29.5$
$ d = 29.5 / 3.14 = 9.39 inches$