The surface area of a cylinder is given by the polynomial 2πr squared + 2πrh. A cylinder has a radius of 2 centimeters and a height of 5 centimeters. Find the surface area of a cylinder.

Respuesta :

Answer:

[tex]surface\ area=87.96\ cm^{2}[/tex]

Step-by-step explanation:

Hello, I can help you with this

let

[tex]surface\ area=2\pi\ r^{2} +2\pi\ rh\\\\[/tex]

Step one

In this case, the equation is given, all you have to do is put the values ​​inside the formula

Let

radius=r=2 cm

height=h= 5 cm

[tex]surface\ area=2\pi r^{2} +2\pi\ rh\\surface\ area=2\pi(2\ cm)^{2} +2\pi(2\ cm)*(5\ cm)\\surface\ area=8\pi(cm)^{2}+20\pi(cm)^{2}\\surface\ area=28\pi(cm)^{2}\\surface\ area=87.96\ cm^{2}[/tex]

Have a good day