Respuesta :
3619.11 cm³ air will be needed to inflate the ball fully.
Volume of a sphere:
- Volume of a sphere is given by the expression,
Volume = [tex]\frac{4}{3}\pi(r)^3[/tex]
Here, [tex]r=[/tex] radius of the sphere
Radius of the basketball has been given as 'r' = 12 cm
Volume of the basketball = [tex]\frac{4}{3}\pi(12)^3[/tex]
= [tex]\frac{4}{3}\pi (1728)[/tex]
= [tex]2304\pi[/tex] cm³
Since, the basketball is inflated halfway only,
Air needed to inflate the basketball fully = [tex]\frac{1}{2}(\text{Volume of the basketball})[/tex]
= [tex]\frac{1}{2}(2304\pi)[/tex]
= [tex]1152\pi[/tex] cm³
= [tex]3619.11[/tex] cm³
Therefore, 3619.11 cm³ air will be needed to inflate the ball fully.
Learn more about the volume here,
https://brainly.com/question/13009483?referrer=searchResults
