Respuesta :

Answer:

[tex]112\pi[/tex]

Step-by-step explanation:

hi! for this problem, all we need is the equation for the SA for a cylinder!

here's the equation: [tex]A=2\pi(r)(h)+2(\pi)r^{2}[/tex]

BUT FIRST let's identify our given numbers

  • the radius, or r, is 4 (r = 4)
  • the height, or h, is 10 (h = 10)

now all we have to do is plug in what is given to the equation above! not so bad, right?

plugged in equation

[tex]A = 2\pi (4)(10) + 2\pi (4)^{2}[/tex]

- now let's simplify!

[tex]2\pi (40) + 2\pi (16)[/tex]

[tex]80\pi + 32\pi[/tex]

[tex]112\pi[/tex]

your answer should be [tex]112\pi[/tex]

comment or message me if you are still confused or have any questions :)