Mathematics
Grade9
Easy

Question

Find the lateral area of the following cone.

  1. 63.21 in2
  2. 56.52 in2
  3. 169.56 in2
  4. 28.3 in2

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.

The correct answer is: 63.21 in2


    Given, height of cone h = 6 inches and radius of cone r = 3 inches
    Slant height = square root of r squared space plus space h squared end root space equals space square root of 3 squared space plus space 6 squared end root

    = square root of 45 = 6.71 inches
    Use the lateral area formula,
    Lateral area = πrl
    = 3.14 x 3 x 6.71 = 63.21 in2
    Therefore, the lateral surface area of the given cone is 63.21 in2

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