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.

1 answer

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.
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