The volume of air contained inside the soccer ball is [tex]5577.5cm^3[/tex]
A soccer ball is a sphere. The volume of air inside the ball will be the volume of the space inside the ball.
To get the internal volume, we need the internal radius. Since we are given the internal diameter = 22cm, the internal radius will be half of that, or 11cm.
Calculate the volume of air
The volume of a sphere is given by the formula
[tex]v=\dfrac{4}{3}\pi r^3[/tex]
we are finding the interior volume of the ball, since this is where the air is. Taking the value of [tex]\pi[/tex] as 22/7, and substituting the radius 11cm,
[tex]v=\dfrac{4}{3}\times\dfrac{22}{7}\times 11^3\\\\\approx5577.5cm^3\text{ (to the nearest tenth of a cm)}[/tex]
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