find the slant height
A right circular cone is shown. The height of the cone is 16 meters and the radius of the circular base is 11 meters.
We can use the Pythagorean theorem to find the slant height (l) of the cone:
l^2 = h^2 + r^2
where h is the height of the cone and r is the radius of the circular base.
Substituting the values given in the problem, we get:
l^2 = 16^2 + 11^2
l^2 = 256 + 121
l^2 = 377
Taking the square root of both sides, we get:
l ≈ 19.4 meters
Therefore, the slant height of the cone is approximately 19.4 meters.