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The expressions that shows how the volume of air the basketball can hold is [tex]\frac{4}{3}[/tex]π4.75³cm³.

A basketball has the shape of a sphere. A sphere is a 3 dimensional object that has all points lying the same distance from the centre.

In order to determine how much air the basketball can hold, the volume of the basketball has to be determined.

The volume of a sphere = [tex]\frac{4}{3}[/tex]πr³

Where:

π = 22/7

r = radius = diameter / 2 = 9.5 / 2 = 4.75 cm

Volume = [tex]\frac{4}{3}[/tex]π4.75³cm³

To learn more about a sphere, please check: https://brainly.com/question/14345354