Correct. A soccer ball is shaped like a sphere, so use the formula $\displaystyle{V}=\frac{{4}}{{3}}\pi{{r}}^{{3}}\usepackage{cmbright}\Huge\$ . The diameter is 22, so the radius is 11.

$\displaystyle{V}=\frac{{4}}{{3}}\pi{{\left({11}\right)}}^{{3}}=\frac{{4}}{{3}}\pi{\left({1},{331}\right)}\approx\frac{{4}}{{3}}\cdot{3.14}\cdot{1},{331}\approx{5572}\usepackage{cmbright}\Huge\$

The amount of air that fills the inside of the soccer ball is about 5,600 cubic centimeters.