Answer:
Slant height = 18 .33 feet.
Explanation:
Given : A cone with a surface area of 500π ft² and a radius of 15 ft.
To find : find the slant height l .
Solution : We have given
Surface area of cone = 500π ft².
Radius = 15 ft.
Surface area of cone = π * radius ( radius + slant height ) .
Plug all the values.
500 π = π * 15 ( 15 + slant height ) .
On dividing both sides by π
500 = 15 ( 15 + slant height ) .
On dividing both sides by 15
33.33 = 15 + slant height .
On subtracting both sides by 15.
33.33 -15 = slant height .
Slant height = 18 .33 feet.
Therefore , Slant height = 18 .33 feet.