12501883 12501883
  • 11-07-2022
  • Mathematics
contestada

Find the total surface area of the cylinder shown. Leave the answer in terms of pi radius 4 height 6

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natclrk187
natclrk187 natclrk187
  • 11-07-2022

Answer: [tex]80\pi[/tex]

Step-by-step explanation:

- the equation for the surface area of a cylinder is [tex]A=2\pi rh+2\pi r^{2}[/tex]

- the equation for this cylinder will be [tex]A=2\pi (4)(6)+2\pi (4^{2})\\[/tex]

- so, [tex]2\pi (4)(6) = 150.7964474[/tex] and [tex]2\pi (4^{2})\\ = 150.7964474[/tex]

- then [tex]150.7964474 + 150.7964474= 251.3274123[/tex]

- finally, [tex]251.3274123/\pi = 80[/tex]

- so the answer in terms of [tex]\pi[/tex] is [tex]80\pi[/tex]

hope this helps :)

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