Find the surface area of a cone with diameter 27 m and slant height 19 m. Leave your answer in terms of pie
To find the surface area of a cone, you need to know the radius and the slant height of the cone.
Given that the diameter (d) of the cone is 27 m, we can find the radius (r) by dividing the diameter by 2:
r = d/2 = 27 m/2 = 13.5 m.
The slant height (l) is given as 19 m.
The surface area (A) of a cone is given by the formula A = πr(r + l), where π represents the mathematical constant pi.
Substituting the values we have into the formula, we get:
A = π * 13.5 m * (13.5 m + 19 m)
A = π * 13.5 m * 32.5 m
To leave the answer in terms of π, we can keep it as:
A = 438.75π m²
Therefore, the surface area of a cone with a diameter of 27 m and a slant height of 19 m is 438.75π square meters.