1)
[tex]Rayon = \frac{x}{2}[/tex]
2)
[tex]Volume\,Cube = x^3[/tex]
[tex]Volume\,Boule = \frac{4}{3}\pi(\frac{x}{2})^3 = \frac{4}{3}\pi(\frac{x^3}{8})[/tex]
3)a)
[tex]Volume = x^3 - \frac{4}{3}\pi(\frac{x^3}{8}) = x^3(1 - \frac{4\pi}{24}) = x^3(1 - \frac{\pi}{6})= x^3 - \frac{x^3\pi}{6}[/tex]
b)
[tex]Volume = 12^3(1 - \frac{\pi}{6})[/tex]
[tex]Volume = 1728(1 - \frac{\pi}{6})[/tex]
[tex]Volume = 1728 - 288\pi[/tex]
[tex]Volume \approx 823\,cm^3[/tex]
en espérant t'avoir aidé.
