Question

halla el área total de un cilindro cuyo radio mide 5cm y su altura el doble​

Answer 1

Respuesta:

$\begin{aligned}\text{Radio R}&=5\\\text{Altura H}&=10\\&\downarrow\\\text{Area Lateral}&=\pi{R}\times\sqrt{R^2+H^2}\\&=\pi\times5\times\sqrt{5^2+10^2}\\&=15.71\times\sqrt{25+100}\\&=15.71\times\sqrt{125}\\&=15.71\times11.18\\&=\bold{175.62}\\\text{Area Total}&=175.62+\pi{R}^2\\&=175.62+\pi\times5^2\\&=175.62+\pi\times25\\&=175.62+78.54\\&=\bold{254.16}\\\text{Volumen}&=\frac{\pi{R}^2\times{H}}{3}\\&=\frac{\pi\times5^2\times{10}}{3}\\&=\frac{\pi\times25\times10}{3}\\&=\frac{785.4}{3}\\&=\bold{261.8}\end{aligned}$

espero ayudar ❤