Step 1

That mean we have to find the volume of the Soccer ball.

Since it is a Shere with radius

\(\displaystyle{r}={4.5}\ \text{inches}\)

\(\displaystyle\therefore\) volume of Soccer ball \(=\frac{4}{3}\barwedge r^{3}\)

\(\displaystyle{V}={\frac{{{4}}}{{{3}}}}\times\overline{\wedge}\times{\left({4.5}\right)}^{{{3}}}\)

\(\displaystyle={\frac{{{4}}}{{{3}}}}\times\overline{\wedge}\times{91.128}\)

\(\displaystyle={\frac{{{4}}}{{{3}}}}\times{3.14}\times{91.725}\)

\(\displaystyle={\frac{{{4}\times{286.1325}}}{{{3}}}}\)

\(\displaystyle={\frac{{{1144.53}}}{{{3}}}}\)

\(\displaystyle={381.51}\ in^{{{3}}}\)

\(\displaystyle\therefore{V}={381.51}\ in^{{{3}}}\)