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?

1 answer

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.