The formula for the slant height of a cone is , where s is surface area of the cone. use the formula to find the slant height, l, of a cone with a surface area of 500π ft2 and a radius of 15 ft. l = ft

we know that

The formula of the surface area of the cone is equal to

where

SA is the surface area

r is the radius of the cone

l is the slant height

in this problem we have

Solve the formula for l

substitute the values

therefore

the answer is

The slant height is

The slant height (l) of this cone is equal to 18.33 feet.

Given the following data:

To calculate the slant height (l) of this cone:

Mathematically, the surface area (SA) of a cone is given by this formula:

Where:

Substituting the given parameters into the formula, we have;

Slant height, l = 18.33 feet.

Read more on surface area here: link

need more info

step-by-step explanation:

what do you mean by "representation"? graph? table? etc.