Question

Didn’t he lateral area of the cone in terms of pi.

Answer 1

Answer:

$286\pi$  sq. in.

Step-by-step explanation:

The lateral area of cone is given by the formula  $\pi r l$

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 = $\pi r l=\pi (11)(26)=286\pi$

Answer 2

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:

$LA=r*s*\pi$

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

As you can see in the figure:

$r=22in/2=11in\\s=26in$

Substitute values. Therefore, the result is:

 $LA=11in*26in*\pi=286\pi$in²