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Using the volume of the sphere, it is found that 445.1 in³ of the ball is occupied by water.
The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi}{3}r^3[/tex]
In this problem, the radius is of r = 5 in, hence the volume in cubic inches is given by:
[tex]V = \frac{4\pi}{3}(5)^3 = 523.6[/tex]
85% of this is filled by water, hence the space occupied by water, in cubic inches, is of:
0.85 x 523.6 = 445.1.
More can be learned about the volume of a sphere at https://brainly.com/question/25608353