Respuesta :

TaeKwonDoIsDead

Answer:

[tex]286\pi[/tex]  sq. in.

Step-by-step explanation:

The lateral area of cone is given by the formula  [tex]\pi r l[/tex]

Where,

r is the radius, and

l is the slant height

  • In this problem, slant height (l) is given to be 26
  • Diameter is given as 22. We know radius is half of diameter, so radius (r) is 11

Plugging all these values into the formula, we get:

Lateral Area = [tex]\pi r l=\pi (11)(26)=286\pi[/tex]

carlosego

Answer: third option

Step-by-step explanation:

To solve the problem you must apply the following formula for calculate the lateral area of a cone:

[tex]LA=r*s*\pi[/tex]

Where r is the radius and s is the slant height.

As you can see in the figure:

[tex]r=22in/2=11in\\s=26in[/tex]

Substitute values. Therefore, the result is:

 [tex]LA=11in*26in*\pi=286\pi[/tex]in²

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