[tex]d = 8\sqrt{2}\\oraz\\d = a\sqrt{2}\\\\a\sqrt{2} = 8\sqrt{2} \ \ /:\sqrt{2}\\\\a = 8 \ cm\\H =a= 8 \ cm\\r = 0,5a = 0,5\cdot8 = 4 \ cm\\\\P_{b} = 2\pi rh\\\\P_{b} = 2\pi \cdot4\cdot8 \ cm^{2}\\\\\boxed{P_{b} = 64\pi \ cm^{2}}\\\\\\V = P_{p}\cdot H\\\\P_{p} = \pi r^{2} = \pi \cdot4^{2} = 16\pi \ cm^{2}\\\\V = 16\pi\cdot8 \ cm^{3}\\\\\boxed{V = 128\pi \ cm^{3}}[/tex]