Mathematics
Grade9
Easy

Question

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

  1. 13.5 m
  2. 29.06 m
  3. 10 m
  4. 14.46 m

hintHint:

The Formula for lateral surface area of the cone is πrl where l is the slant height and r is the radius of the circular base of the cone. substitute the given values to find 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.

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