The given solid is a cone. To calculate the surface area of a cone, we can use the formula where r is the radius of the base and l is the slant height of the cone.
S.A.=π rl+π r^2We know that the diameter of the cone's base is 27m. By dividing it by 2, we get the radius of the base.
r=27/2=13.5m
We are told that the slant height of the cone equals 19m. By substituting r=13.5 and l=19 into the formula, we can calculate the surface area of the cone.