Uma esfera possui 36 pi cm³ de volume, qual e a area dessa esfera?obs: calcule em primeiro lugar o raio da esfera e depois a area.
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Olá
Volume = 36π³
Encontrando o raio.
![\displaystyle\mathsf{V= \frac{4}{3}\pi r^3 }\\\\\\\mathsf{36\pi= \frac{4}{3}\pi r^3}\\\\\\\mathsf{ \frac{3}{4}36\pi = \pi r^3}\\\\\\\mathsf{ \frac{27\pi}{\pi}=r^3 }\\\\\\\mathsf{r= \sqrt[3]{27} }\\\\\\\boxed{\mathsf{r=3~cm}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cmathsf%7BV%3D+%5Cfrac%7B4%7D%7B3%7D%5Cpi+r%5E3+%7D%5C%5C%5C%5C%5C%5C%5Cmathsf%7B36%5Cpi%3D+%5Cfrac%7B4%7D%7B3%7D%5Cpi+r%5E3%7D%5C%5C%5C%5C%5C%5C%5Cmathsf%7B+%5Cfrac%7B3%7D%7B4%7D36%5Cpi+%3D+%5Cpi+r%5E3%7D%5C%5C%5C%5C%5C%5C%5Cmathsf%7B+%5Cfrac%7B27%5Cpi%7D%7B%5Cpi%7D%3Dr%5E3+%7D%5C%5C%5C%5C%5C%5C%5Cmathsf%7Br%3D+%5Csqrt%5B3%5D%7B27%7D+%7D%5C%5C%5C%5C%5C%5C%5Cboxed%7B%5Cmathsf%7Br%3D3%7Ecm%7D%7D "\displaystyle\mathsf{V= \frac{4}{3}\pi r^3 }\\\\\\\mathsf{36\pi= \frac{4}{3}\pi r^3}\\\\\\\mathsf{ \frac{3}{4}36\pi = \pi r^3}\\\\\\\mathsf{ \frac{27\pi}{\pi}=r^3 }\\\\\\\mathsf{r= \sqrt[3]{27} }\\\\\\\boxed{\mathsf{r=3~cm}}")
Calculando a Área
Volume = 36π³
Encontrando o raio.
Calculando a Área
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