Asked by the milk duds
how many feet long is the slant height of the cone the base is 12ft and the height is 35ft. what is the slant height of the cone?
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Answered by
GPT 3.5
To find the slant height of a cone, we can use the Pythagorean theorem.
The formula for the slant height is √(radius^2 + height^2).
In this case, the radius is half of the diameter, which is equal to the base of the cone. So, the radius is 12ft/2 = 6ft.
Using the formula, we have:
slant height = √(6^2 + 35^2)
slant height = √(36 + 1225)
slant height = √1261
Therefore, the slant height of the cone is approximately 35.5ft.
The formula for the slant height is √(radius^2 + height^2).
In this case, the radius is half of the diameter, which is equal to the base of the cone. So, the radius is 12ft/2 = 6ft.
Using the formula, we have:
slant height = √(6^2 + 35^2)
slant height = √(36 + 1225)
slant height = √1261
Therefore, the slant height of the cone is approximately 35.5ft.
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