Question

To find the slant height, l, of a cone with a surface area of 500π ft2 and a radius of 15 ft.

Answer 1

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.

Answer 2

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 :)