Question

Considere um cone reto cuja geratriz mede 9 cm e o raio da base mede 6 cm. Determine os itens seguintes

a) A area da base
b) A area lateral
c) A area total

Answer 1

$Ola'~~\mathbb{YURI} \\ \\ Dados: \\ g=9cm \\ R=6cm \\ \pi =3,14 \\ A_b=? \\ A_L=? \\ A_T=? \\ \\ Respondendo~as~perguntas: \\ A)~Area~da~base~e':~\boxed{A_b= \pi .R\²}~~~--\ \textgreater \ substituindo~dados \\ \\ A_b=3,14.(6cm)\² \\ \\ \boxed{\boxed{A_b=113,04cm\²}}$

$\mathbb{ttttttttttttttttttttttttttttttttttt} \\ B)~area~lateral. \\ Para~calcular~a ~\acute{a}rea~lateral~usaremos~a~siguente~relac\~ao \\\boxed{ A_L= \pi .R.g}~~---\ \textgreater \ substituindo~dados~temos: \\ \\ A_L=3,14.(6cm).(9cm) \\ \\ \boxed{\boxed{A_L=169,56cm\²}} \\ \\ \mathbb{tttttttttttttttttttttttttttttttttttt} \\ C)~\acute{a}rea~total. \\ A~\acute{a}rea~total ~e'~: \boxed{A_T=A_L+A_b} \\ \\ Substituireos~os~vaores~de[A_b] ~e~[A_L], veja:$

$A_T=113,04cm\²+169,56cm\² \\ \\ \boxed{\boxed{A_T=282,6cm\²}} \\ \\ \mathbb{wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww} \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~ter~ajudado!!$