[tex]\large\text{$ A ~\acute{a}rea ~lateral~do~ cilindro ~ \Rightarrow ~Al = 160 ~\pi ~cm^2 $}\\\\\large\text{$A ~\acute{a}rea ~total~do~ cilindro ~ \Rightarrow ~168 ~\pi~cm^2 $}\\\\\large\text{$ O ~volume ~do~ cilindro ~ \Rightarrow ~ 640 ~\pi ~cm^3$}[/tex]
[tex]\large\text{$S\acute{o}lidos ~Geom\acute{e}tricos $}[/tex]
A área lateral do cilindro:
[tex]Al = 2\pi ~.~r ~.~ h\\\\Al = 2\pi ~. ~8~.~10\\\\Al = 2\pi ~. ~80\\\\Al = 160 ~\pi ~cm^2[/tex]
A área total do cilindro:
[tex]At = 2 ~.~\pi ~. ~r ~. ~(r + h) \\\\At = 2 ~.~\pi ~. ~8 ~. ~(8 + 10) \\\\At = 16\pi ~. ~(18) \\\\At = 168 ~pi\ ~cm^2[/tex]
Volume do cilindro:
[tex]V = \pi~ . ~r^2~ .~ h|\\\V = \pi~ . ~8^2~ .~ 10\\\\V = \pi~ . ~64~ .~ 10\\\\V = 640 ~pi ~cm^3[/tex]
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