Mathematics
Grade9
Easy

Question

Find the lateral area of this cone.

  1. 62 pi ft squared
  2. 60 pi ft squared
  3. 65 pi ft squared  
  4. 130π ft.2

hintHint:

The Formula lateral surface area of the cone is left parenthesis pi r right parenthesis l  where l is the slant height and r is the radius of the circular base of the cone.

The correct answer is: 65 pi ft squared


    Given radius r = 5 ft and height  h = 12 ft and using formula for slant height
    S l a n t space h e i g h t space l equals square root of r squared space plus h squared end root space space
equals square root of 12 squared space plus space 5 squared end root
equals square root of 169 equals 13 space f t
text  Use the lateral area formula,  end text
L a t e r a l space a r e a space equals space pi r l
equals space pi space x space 5 space x space 13 space
equals 65 pi space ft squared
    Therefore, The lateral surface area of the cone is 65 pi ft squared.

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