Observe the cone figure below. The slant height, l, is the diagonal length of the cone. The cone stands 16 feet tall and has a radius of 12 feet. How many feet long is the slant height of the cone?

1 answer

In a right circular cone, the slant height (l) can be found using the Pythagorean theorem.

The height (h) is given as 16 feet.

The radius (r) is given as 12 feet.

Applying the Pythagorean theorem, we have:

l^2 = r^2 + h^2

l^2 = 12^2 + 16^2

l^2 = 144 + 256

l^2 = 400

Now taking the square root of both sides, we have:

l = √400

l = 20

Therefore, the slant height of the cone is 20 feet.