If a cone with a diameter of 10 meters has a lateral area of 211.95 square meters, find its slant height.

The correct answer is: 13.5 m

Given ,diameter of cone = 10 meters then radius of cone = 5 m and
lateral area of cone =  211.95 square meters let the slant height of cone be l.
Use the lateral area formula,
Lateral area = πrl
211.95= 3.14 x 5 x l
l = 13.5 m
Therefore, slant height of cone is 13.5 m.