Question

ACTIVIDAD 1 :
Determinar el área total del cilindro si su radio es de 15 cm y su altura 24 cm.

ACTIVIDAD 2 :
Calcula el área total del siguiente cono

Answer 1

Respuesta:

ACTIVIDAD 1 :

$\begin{aligned}\text{Radio R}&=15\\\text{Altura H}&=21\\&\downarrow\\\text{Area Lateral}&=2\pi{R}\times{H}\\&=2\pi\times15\times15\\&=\bold{1,979.2}\\\text{Area Total}&=1,979.2+2\pi{R}^2\\&=1,979.2+2\pi\times15^2\\&=1,979.2+2\pi\times225\\&=1,979.2+1,413.72\\&=\bold{3,392.92}\\\text{Volumen}&=\pi{R}^2\times{H}\\&=\pi\times15^2\times21\\&=\pi\times225\times21\\&=706.86\times21\\&=\bold{14,844.03}\end{aligned}$

ACTIVIDAD 2 :

$\begin{aligned}\text{Radio R}&=3\\\text{Altura H}&=8\\&\downarrow\\\text{Area Lateral}&=\pi{R}\times\sqrt{R^2+H^2}\\&=\pi\times3\times\sqrt{3^2+8^2}\\&=9.42\times\sqrt{9+64}\\&=9.42\times\sqrt{73}\\&=9.42\times8.54\\&=\bold{80.53}\\\text{Area Total}&=80.53+\pi{R}^2\\&=80.53+\pi\times3^2\\&=80.53+\pi\times9\\&=80.53+28.27\\&=\bold{108.8}\\\text{Volumen}&=\frac{\pi{R}^2\times{H}}{3}\\&=\frac{\pi\times3^2\times{8}}{3}\\&=\frac{\pi\times9\times8}{3}\\&=\frac{226.19}{3}\\&=\bold{75.4}\end{aligned}$

espero ayudar ❤