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zmey [24]
3 years ago
12

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
Mathematics
2 answers:
professor190 [17]3 years ago
5 0
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
Katen [24]3 years ago
3 0

Answer: The answer is 275 feet.

hope this helps (:

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