Answer:
lateral surface area of the cone = 829.0ft²
Hence the total surface area is 1,208.9ft²
Explanation:
lateral surface area of the cone = πrl
l is the slant side = 24ft
r is the radius = 11ft
lateral surface area of the cone = π(11)(24)
lateral surface area of the cone = 3.14 * 264
lateral surface area of the cone = 828.96ft²
lateral surface area of the cone = 829.0ft²
Total surface area = πr(r+l)
r is the radius = 11ft
l is the slant side = 24ft
Total surface area = π(11)(11+24)
Total surface area = π(11)(35)
Total surface area = 3.14 * 385
Total surface area = 1,208.9ft²
Hence the total surface area is 1,208.9ft²