Question

Find the surface area. Round your answer to the nearest tenth.

Cone, slant=12.1 cm, radius=5 cm

Answer 1

Surface area of a cone = πr(r + √(r^2 + h^2))

Given:
radius (r) = 5 cm
slant height (h) = 12.1 cm

Surface area = π*(5)(5 + √(5^2 + 12.1^2))
Surface area = π*(5)(5 + √(25 + 146.41))
Surface area = π*(5)(5 + √171.41)
Surface area = π*(5)(5 + 13.1)
Surface area = π*(5)(18.1)
Surface area = 90.48π

Approximating the value of π to be 3.14:
Surface area ≈ 90.48 * 3.14
Surface area ≈ 284.12 cm^2

Therefore, the surface area of the cone is approximately 284.1 cm^2.