Question

Find the surface area of a cone that has a slant height of 6 inches and a base with a diameter of 3 inches.

Answer 1

Answer:

Step-by-step explanation:

radius r = 1.5 in

slant height ℓ = 6 in

lateral area LA = πrℓ

                     = π(1.5)(1.5)

                     = 2.25π

                  ≅ 7.07 in²

base area BA = πr²

                    = π1.5²

                  ≅ 7.07 in²

 

surface area SA = LA + BA

                       = 7.07 + 7.07

                  ≅ 14.14 in²