Question

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

Answer 1

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

B = Area of the base

From the picture attached,

Slant height 'l' = 15 in.

Radius of the circular base 'r' = 12 in.

Area of the circular base = πr²

                                          = π(12)²

                                          = 144π in²

By substituting these values in the expression of the surface are,

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

                                                   = 180π + 144π

                                                   = 324π in²  

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