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

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.

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!