Olá Tamara!!!
Vamos lá...
Areá Total:
[tex]A\´rea\ total(A_{t})=A\´rea\ lateral(A_{L})+2.A\´reas\ da\ Base(A_{b})\\[/tex]
[tex]\boxed{A_{t}=A_{L}+2.A_{b}}[/tex]
[tex]A_{L}=2.\pi.R.h\\ \\A_{L}=2.\pi.6.8\\ \\A_{L}=96\pi\ cm^2\\ \\A_{b}=\pi.R^2\A_{b}=\pi.6^2\\ \\\boxed{A_{b}=36\pi}\\ \\[/tex]
[tex]A_{t}=A_{L}+2.A_{b}\\ \\A_{t}=96\pi+2.36\pi\\ \\A_{t}=96\pi+72\pi\\ \\\boxed{A_{t}=168\pi\ cm^2}\\[/tex]
Agora o Volume:
[tex]V_{cil}=A_{b}.h\\ \\V_{cil}=36\pi.8\\ \\ \boxed{V_{cil}=288\pi\ cm^3}\\ \\[/tex]
veja se entendeu!!
