Question

Determine o volume de um cone com geratriz de 1,5 m e raio da base de 0,9 m. !!!! Urgente

Answer 1

$\boxed{\begin{array}{l}\underline{\rm c\acute alculo~da~altura:}\\\sf h=\sqrt{g^2-r^2}\\\sf h=\sqrt{1,5^2-0,9^2}\\\sf h=\sqrt{2,25-0,81}\\\sf h=\sqrt{1,44}\\\sf h=1,2~m\\\underline{\boldsymbol{ C\acute alculo~do~volume:}}\\\sf V=\dfrac{1}{3}\cdot \pi\cdot r^2\cdot h\\\\\sf V=\dfrac{1}{\diagdown\!\!\!\!\!\!3}\cdot\pi\cdot0,9^2\cdot\diagdown\!\!\!\!\!\!1,2\\\\\sf V=0,4\cdot\pi\cdot0,81\\\sf V=0,324\pi~m^3\end{array}}$