a cone has a lateral surface area of 58.7 square inches. the diameter of the base of the cone is 5.75 inches. what is the slant height of the cone?

Question

LSA= 1/2CL

Answer 1

Hi Audrey,

 

The formula for the lateral surface area of a cone is S= pi(r)(s) where s is the slant height. Slant height is given by 

s=√(r²+h²) , but that is not pertinent to this problem.

 

Use S = pi(r)(s); substitute in the values you know and solve for s.

 

58.7 = pi(5.75/2)(s) --divided the diameter by 2 to get the radius

 

So,

 

s= 58.7(2)/5.75(pi) --use a calculator to get the slant height to the nearest 100th of an inch.