Determine how much air could fit inside a soccer ball

kloseyq 2021-12-19 Answered
Determine how much air could fit inside a soccer ball with radius of 4.5 inches. Use 3.14 for \(\displaystyle\pi\)
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Expert Answer

Alex Sheppard
Answered 2021-12-20 Author has 1572 answers

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 \(=\frac{4}{3}\barwedge r^{3}\)
\(\displaystyle{V}={\frac{{{4}}}{{{3}}}}\times\overline{\wedge}\times{\left({4.5}\right)}^{{{3}}}\)
\(\displaystyle={\frac{{{4}}}{{{3}}}}\times\overline{\wedge}\times{91.128}\)
\(\displaystyle={\frac{{{4}}}{{{3}}}}\times{3.14}\times{91.725}\)
\(\displaystyle={\frac{{{4}\times{286.1325}}}{{{3}}}}\)
\(\displaystyle={\frac{{{1144.53}}}{{{3}}}}\)
\(\displaystyle={381.51}\ in^{{{3}}}\)
\(\displaystyle\therefore{V}={381.51}\ in^{{{3}}}\)

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poleglit3
Answered 2021-12-21 Author has 1103 answers
Step 1
The formula for a sphere is
\(\displaystyle{V}={\frac{{{4}}}{{{3}}}}{\left({3.14}\right\rbrace}{\left({4.5}^{{{3}}}\right)}\)
When you calculate that, you get.
\(\displaystyle{\frac{{{243}{\left({3.14}\right)}}}{{{2}}}}\)
Now you divide by 2.
\(\displaystyle={381.7}\)
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