[tex]r = 6cm[/tex]
[tex]h = 8cm[/tex]
[tex] {6}^{2} + {8}^{2} = {l}^{2} \\ 36 + 64 = {l}^{2} \\ {l}^{2} = 100 \\ l = 10[/tex]
[tex]v = \frac{1}{3}\pi {r}^{2}h[/tex]
[tex]v = \frac{1}{3}\pi {6}^{2} \times 8[/tex]
[tex]v = \frac{1}{3}\pi \times 36 \times 8[/tex]
[tex]v = \frac{36}{3}\pi \times 8[/tex]
[tex]v = 12\pi \times 8[/tex]
[tex]v = 96\pi \: {cm}^{3} [/tex]
[tex]pc = \pi {r}^{2} + \pi \: rl = \pi \: r(r + l)[/tex]
[tex]pc =6\pi(6 + 10)[/tex]
[tex]pc = 6\pi \times 16 = 96\pi \: {cm}^{2} [/tex]
