Find the slant height of the cone to the nearest whole number.
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 point)
Responses
20 m
20 m
22 m
22 m
21 m
21 m
19 m
19 m
Skip to navigation
To find the slant height of a cone, we can use the Pythagorean theorem. The slant height, height, and radius of the cone form a right triangle.
The height of the cone is 16 meters and the radius of the circular base is 11 meters.
Using the Pythagorean theorem, we can find the slant height (l):
l^2 = h^2 + r^2
l^2 = 16^2 + 11^2
l^2 = 256 + 121
l^2 = 377
l ≈ √377
l ≈ 19.42
Rounding to the nearest whole number, the slant height of the cone is approximately 19 meters.
Answer: 19 m