Respuesta :
The lateral area and surface area of a right cone will be 1005.3 sq. ft and 1319.5 sq. ft. Then the correct option is A.
What are the lateral surface area and surface area of the cone?
Let l be the slant height of the cone and A be the base area of the cone.
Then the lateral surface area of the cone will be
Lateral surface area = πrl
The surface area of the cone will be
Surface area = πr (l + r)
The diameter is 20 ft and the slant height is 32 ft of the cone.
Then the radius will be
r = 20 / 2
r = 10 ft
The lateral area of the cone will be
Lateral surface area = π x 10 x 32
Lateral surface area = 1005.3 square ft
The lateral area of the cone will be 1005.3 square ft.
The surface area of a right cone will be
Surface area = π x 10 (32 + 10)
Surface area = 1319.5 square ft
Thus, the lateral area and surface area of a right cone will be 1005.3 sq. ft and 1319.5 sq. ft.
Then the correct option is A.
More about the lateral surface area and surface area of the cone link is given below.
https://brainly.com/question/14001755
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