The slant height of the cone with the given measurements would be would be around 18.3164 ft.
You can use cone formulas to get to this answer to find the slant height.
I hope this helps :)
Answer:
Slant height = 18 .33 feet.
Step-by-step 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.
