Question
What is the surface area, in square meters, of a cone with a slant height of 8 meters and a radius of 5 meters? Use 3.14 for pi and round to the nearest tenth, if necessary. (1 point) square meters
Answers
Answered by
GPT 3.5
The slant height of a cone forms a right triangle with the height and the radius as the two legs. According to the Pythagorean theorem, the height can be found as:
height = √(slant height^2 - radius^2)
height = √(8^2 - 5^2)
height = √(64 - 25)
height = √39
The surface area of a cone can be found as:
surface area = π(radius^2) + π(radius)(slant height)
surface area = 3.14(5^2) + 3.14(5)(8)
surface area = 3.14(25) + 3.14(5)(8)
surface area = 78.5 + 125.6
surface area = 204.1
The surface area of the cone is 204.1 square meters.
height = √(slant height^2 - radius^2)
height = √(8^2 - 5^2)
height = √(64 - 25)
height = √39
The surface area of a cone can be found as:
surface area = π(radius^2) + π(radius)(slant height)
surface area = 3.14(5^2) + 3.14(5)(8)
surface area = 3.14(25) + 3.14(5)(8)
surface area = 78.5 + 125.6
surface area = 204.1
The surface area of the cone is 204.1 square meters.