Respuesta :

Answer:

Thus, the surface area of a cylinder involving pie is:

[tex]\:\:\:A=36\pi \:[/tex] in²

or

[tex]A\approx 113.1[/tex] in²

Step-by-step explanation:

Given

  • radius = r = 2 in
  • height = h = 7 in

Using the formula to determine the surface area of a cylinder:

[tex]A=2\pi \:rh+2\pi \:r^2[/tex]

[tex]A=\left(2\times \pi \times \:2\times 7\right)+\left(2\times \pi \times \:2^2\right)\:[/tex]

[tex]\:\:\:A=36\pi \:[/tex] in²

Thus, the surface area of a cylinder involving pie is:

[tex]\:\:\:A=36\pi \:[/tex] in²

or

[tex]A\approx 113.1[/tex] in²