The slant height of the cone given slant height of 500π ft² and radius 15feet is 275 square feet.
Given the formula for calculating the slant height of a cone is expressed as:
[tex]l=\frac{S-\pi r^2}{\pi}[/tex]where:
S is the surface area of the cone
r is the radius
Given the following
S = 500π ft²
r = 15ft
π = 3.14
Substitute the given values into the given expression as shown:
[tex]l=\frac{500\pi-\pi (15)^2}{\pi}\\l=\frac{500 \pi - 225 \pi}{\pi} \\l=\frac{275 \pi}{\pi}\\l = 275 ft^2[/tex]
This shows that the slant height of the cone is 275 square feet.
Learn more here: https://brainly.com/question/12230403
