Question

Halla el área lateral de un cono que tiene 10cm de generatriz y 4cm de radio

Answer 1

Respuesta:

$\begin{aligned}\text{Radio R}&=4\\\text{Altura H}&=10\\&\downarrow\\\text{Area Lateral}&=\pi{R}\times\sqrt{R^2+H^2}\\&=\pi\times4\times\sqrt{4^2+10^2}\\&=12.57\times\sqrt{16+100}\\&=12.57\times\sqrt{116}\\&=12.57\times10.77\\&=\bold{135.34}\\\text{Area Total}&=135.34+\pi{R}^2\\&=135.34+\pi\times4^2\\&=135.34+\pi\times16\\&=135.34+50.27\\&=\bold{185.61}\\\text{Volumen}&=\frac{\pi{R}^2\times{H}}{3}\\&=\frac{\pi\times4^2\times{10}}{3}\\&=\frac{\pi\times16\times10}{3}\\&=\frac{502.65}{3}\\&=\bold{167.55}\end{aligned}$

espero ayudar ❤