To find the slant height of a cone, we can use the Pythagorean theorem. The slant height (l) is the hypotenuse of a right triangle, with the base (b) and the height (h) as the other two sides.
In this case, the base (b) is given as 12ft and the height (h) is given as 35ft. Therefore, we have a right triangle with base = 12ft, height = 35ft, and slant height (l) as the hypotenuse.
Using the Pythagorean theorem, we have:
l^2 = b^2 + h^2
l^2 = 12^2 + 35^2
l^2 = 144 + 1225
l^2 = 1369
Taking the square root of both sides, we find:
l = √1369
l ≈ 37ft
Therefore, the slant height of the cone is approximately 37ft.
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 in feet?
1 answer