The formula for the slant height of a cone is , where S is surface area of the cone. Use the formula to find the slant height, l, of a cone with a surface area of 500π ft2 and a radius of 15 ft.
l =
ft
surface area of cone can be calculated using the following rule: area of cone = pi (radius)^2 + pi (radius) (height)
we have the area and the radius as given and the value of pi is a constant = 22/7.
So, all we need to do is just substitute in the above equation to get the value of the height as follows: 500 pi = pi (15)^2 + pi (15)(l) we will divide all terms by pi 500 = (15)^2 + 15l 15l = 500 - (15)^2 15l = 275 l = 275/15 = 18.334 ft
