Obliczam promień
[tex]P=4\pi r^2\\\\4\pi r^2=18\pi\ \ \ |:4\pi\\\\r^2=\frac{18}{4}\\\\r=\sqrt{\frac{18}{4}}\\\\r=\frac{3\sqrt2}{2}[/tex]
Obliczam objętość
[tex]V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}\cdot(\frac{3\sqrt2}{2})^3\pi\\\\V=\frac{4}{3}\cdot\frac{27\sqrt2}{4}\pi\\\\V=9\sqrt2\pi[/tex]