Question

Calcule o volume de um cone circular reto cujo raio da base mede 6 m e geratriz 10 m.  ​

Answer 1

$\Large\boxed{\begin{array}{l}\sf r^2+h^2=g^2\\\sf 6^2+h^2=10^2\\\sf h^2+36=100\\\sf h^2=100-36\\\sf h^2=64\\\sf h=\sqrt{64}\\\sf h=8~m\\\sf V=\dfrac{1}{3}\cdot\pi r^2\cdot h\\\\\sf V=\dfrac{1}{3}\cdot\pi\cdot6^2\cdot8\\\\\sf V=\dfrac{\pi\cdot\diagdown\!\!\!\!\!\!\!36\cdot8}{\backslash\!\!\!3}\\\\\sf V=\pi\cdot12\cdot8\\\sf V=96\pi~m^2\end{array}}$