Question

determine o volume e a área de uma esfera de raio de 60m​

Answer 1

$- ~\largeO ~volume ~da ~esfera ~ \Rightarrow ~ V = 288000 ~\pi ~m^3\\\\\\- ~\largeA ~\acute{a}rea ~da ~superf\acute{i}cie ~da ~esfera ~ \Rightarrow ~ At = 14400 ~\pi ~m^2$

                           $\large Volume ~de ~s\acute{o}lidos ~geom\acute{e}tricos$

O volume da esfera:

$V = \dfrac{4}{3}~. ~\pi ~. ~r^3\\\\\\V = \dfrac{4}{3}~. ~\pi ~. ~60^3\\\\\\V = \dfrac{4}{3}~. ~\pi ~. ~216000\\\\\\V = \dfrac{4 ~. ~216000}{3}~. ~\pi \\\\\\V = \dfrac{864000}{3}~. ~\pi \\\\\\V = 288000 ~\pi ~m^3$

A área da superfície da esfera:

$At = 4~. ~\pi~. ~r^2\\\\At = 4~. ~\pi~. ~60^2\\\\At = 4~. ~\pi~. ~3600\\\\At = 14400~\pi ~m^2$

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