Question

Qual é o volume da esfera cujo o raio é 2dm

Answer 1

$\mathrm{F\acute{o}rmula\ do\ volume\ da\ esfera:}\\\\V=\dfrac{4\pi{r}^3}{3}\\\\\\\text{Substituindo o valor do raio na }\mathrm{f\acute{o}rmula,\ }\text{facilmente encontramos o}\\\text{volume da esfera.}\\\\V=\dfrac{4\pi{r}^3}{3}\\\\\\V=\dfrac{4\pi(2\,dm)^3}{3}\longrightarrow{V}=\dfrac{4\pi\cdot8\,dm^3}{3}\longrightarrow{V}=\dfrac{32\,dm^3\cdot\pi}{3}\\\\\\\text{Considerando }\pi=3{,}14:\\\\\\V=\dfrac{32\,dm^3\cdot\pi}{3}\longrightarrow{V}=\dfrac{32\,dm^3\cdot3{,}14}{3}\longrightarrow\boxed{V\approx33{,}49\,dm^3}$

Answer 2

Vamos lá

$\boxed{V=\frac{4 \pi r^{3} }{3} } \\ \\ V=\frac{4 \pi (2dm)^{3} }{3} \\ \\ V=\frac{4 \pi *8dm^{3} }{3} \\ \\ V=\frac{32dm^{3} * \pi }{3} \\ \\ \boxed{V=33,49dm^{3}}$

Espero ter ajudado!!
Bons estudos!!