\[\boxed{\mathbf{1214.ОК\ ГДЗ - домашка\ на\ 5}}\]
\[Дано:\]
\[цилиндр;\]
\[\textbf{а)}\ r = 2\sqrt{2}\ см;h = 3\ см:\]
\[V = \pi r^{2}h = \pi \bullet \left( 2\sqrt{2} \right)^{2} \bullet 3 =\]
\[= \pi \bullet 8 \bullet 3 = 24\pi\ см^{2}.\]
\[\textbf{б)}\ V = 120\ см^{3};h = 3,6\ см:\]
\[V = \pi r^{2}h\]
\[120 = \pi r^{2} \bullet 3,6\]
\[r^{2} = \frac{120}{3,6\pi} = \frac{1200}{36\pi} = \frac{100}{3\pi}\]
\[r = \frac{10}{\sqrt{3\pi}}\ см.\]
\[\textbf{в)}\ r = h;V = 8\pi\ см^{3}:\]
\[V = \pi r^{2}h\]
\[\pi h^{2} = V\]
\[h^{3} = \frac{8\pi}{\pi} = 8\]
\[h = 2\ см.\]
\[Ответ:а)\ 24\pi\ см^{3};б)\frac{10}{\sqrt{3\pi}}\ см;\]
\[\textbf{в)}\ 2\ см.\]