Question

4)o volume de sua esfera mede 2/3 π m 3. Determine seu raio seu diâmetro e sua área total.​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm Volume\,da\,esfera}\\\sf V=\dfrac{4}{3}\pi\cdot R^3\\\sf\dfrac{\backslash\!\!\!\!2^1}{\backslash\!\!\!\!3}\diagup\!\!\!\!\pi=\dfrac{\diagdown\!\!\!\!4^2}{\backslash\!\!\!3}\diagup\!\!\!\!\pi\cdot R^3\\\\\sf 2R^3=1\\\sf R^3=\dfrac{1}{2}\\\\\sf R=\sqrt[\sf3]{\sf\dfrac{1}{2}}=\dfrac{1}{\sqrt[\sf3]{\sf2}}\,m \end{array}}$

$\large\boxed{\begin{array}{l}\sf D=2R=2\sqrt[\sf3]{\sf2}\,m\\\sf A=4\pi\cdot R^2\\\sf A=4\pi\cdot(2\sqrt[\sf3]{\sf2})^2\\\sf A=4\pi\cdot4\cdot\sqrt[\sf3]{\sf4}\\\sf A=16\pi\sqrt[\sf3]{\sf4}\,m^2\end{array}}$