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The formula for the surface area of a cylinder is 2\pi r(r+h)2πr(r+h)2, pi, r, left parenthesis, r, plus, h, right parenthesis where rrr is the radius of the cylinder's base and hhh is its height. A certain pole has a cylinder-like shape, where the base's radius is 101010 centimeters and the height is 222 meters. What calculation will give us the estimated surface area of the pole in square centimeters?

Respuesta :

jacksonandbosco

Answer:

2pi x 10 x 210

Step-by-step explanation:

The estimated surface area of the pole is 13194.68 square centimeters and this can be determined by using the given data.

Given :

  • The formula for the surface area of a cylinder is [tex]2\pi r(r+h)[/tex].
  • A certain pole has a cylinder-like shape, where the base's radius is 10 centimeters and the height is 2 meters.

The following steps can be used in order to determine the surface area of the pole in square centimeters:

Step 1 - According to the given data, the surface area of a cylinder is [tex]2\pi r(r+h)[/tex].

Step 2 - Now, substitute the values of 'r' and 'h' in the expression of the area of the cylinder.

[tex]A = 2\pi\times 10\times (10+200)[/tex]

Step 3 - Simplify the above expression.

[tex]A = 2\pi\times 10\times (210)[/tex]

[tex]A = 13194.68\; {\rm cm^2}[/tex]

So, the estimated surface area of the pole is 13194.68 square centimeters.

For more information, refer to the link given below:

https://brainly.com/question/2264643

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