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Find the total surface area of this cone leave your answer in terms of pi. 12in 15in

Find The Total Surface Area Of This Cone Leave Your Answer In Terms Of Pi 12in 15in class=

Sagot :

Total surface area of a cone is given by,

  • Surface area of the cone = πrl + B

Here, l = Slant height of the cone, r = radius of the circular base and B = Area of the base

   Total surface area of the cone will be 324π in².

From the picture attached,

  • Slant height 'l' = 15 in.
  • Radius of the circular base 'r' = 12 in.

Substitute these values in the formula of the surface area,

Area of the circular base = πr²

                                          = π(12)²

                                          = 144π in²

Total surface area of the cone = π(12)(15) + 144π

                                                   = 180π + 144π

                                                   = 324π in²  

             Therefore, total surface area of the cone is 324π in².  

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